Which expression is equivalent to x6 - 16x^2?
o x2(x - 2)2(x2 + 4)
o x2(x - 2)2(x + 2)2
o x2(x - 2)(x + 2)(x2 + 4)
o x2(x - 4)(x2 + 4)

Answers

Answer 1

Answer:

[tex]x^2(x - 2)(x + 2)(x^2 + 4)[/tex]

Step-by-step explanation:

[tex]x^6-16x^2[/tex]

[tex]x^2\left(x^4-16\right)[/tex]

[tex]x^2\left(x^2+4\right)\left(x+2\right)\left(x-2\right)[/tex]

[tex]\boxed{\bold{HOPE \:IT \:HELPS!\: :)}}[/tex]

Answer 2

The required expression that is equivalent to the given expression is x²(x - 2)(x + 2)(x² + 4). Option C is correct.

Given that,
To determine the equivalent expression equivalent to  x⁶ - 16x²

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
= x⁶ - 16x²

= x²[x⁴- 16]      
= x²[x² + 4] [x² - 4]    [ Following the rule (a² - b²) = (a + b)(a - b)}
= x²[x² + 4](x + 2)(x - 2)

Thus, the required expression that is equivalent to the given expression is x²(x - 2)(x + 2)(x² + 4). Option C is correct.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ2


Related Questions

Is 0.5 x 10^4 = 50,000? or 5,000? PLEASE SOMEONE HELP ME WITH THISS. Just tell me if is one of those!! If you see this help me rn bc i gotta do this rn LOL

Answers

[tex]\huge\textbf{Hey there!}[/tex]

[tex]\large\boxed{\mathbf{0.5\times10^4}}\\\large\boxed{\mathbf{= 0.5\times10\times10\times10\times10}}\\\large\boxed{= \mathbf{0.5\times100\times100}}\\\large\boxed{= \mathbf{0.5\times 10,000}}\\\large\boxed{\mathbf{= 5,000}}\\\\\huge\text{Therefore, your answer should be: \boxed{\textsf{5,000}}}\huge\checkmark[/tex]

[tex]\huge\textbf{Good luck on your assignment \&}\\\huge\textbf{enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Your softball team is ordering equipment from a catalog. Each bat costs $42. The cost of shipping is $12 no matter how much you order. The total cost is $348. How many bats did your team order?

Answers

348 - 12 = 336


8.
———
42 | 336


The answer is 8

What type of triangle is this?
6
3
8
acute
obtuse

Answers

answer: acute triangle (less than 90 degrees)
acute, less than 90 degrees

To prepare for a bake-off, Kim used 580 grams of flour each day for 2 weeks. How many kilograms did Kim use in those 2 weeks?
1 g = 0.001 kg

Answers

Answer:

below

Step-by-step explanation:

1 day = 580g

2weeks(14days)= 580×14g

= 8,120g

1g= 0.001kg

8,120g= 8,120 × 0.001(kg)

=8.12kg

plesae urgent hurryy for brainlist !!!!!!!!!!!

Answers

C, or 5000(0.9)t is correct.

Multiplying by 0.1 would not make the car’s price go down by ten percent, but 90. Hence, C is correct.


Hope this helps!

Show all work pls ty (:

Answers

There hope it helps ÙnÚ

–A – 22 = –2A – 30
pls

Answers

Answer:

A= -8

Step-by-step explanation:

-A - 22=-2A-30

+2A             +22

A         =   -8

15% of what is 12? Please

Answers

15*X/100=12

15x=1200

X=1200/15

x=80

See attachment for answer and math work.

Brainliest for free




JK

Solve the inequality d + 6 < 13 for d.

Answers

Answer:

[tex]\huge\boxed{\sf d < 7}[/tex]

Step-by-step explanation:

Given inequality is:

d + 6 < 13

Subtract 6 to both sides

d < 13 - 6

d < 7

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Match the vocabulary word with the correct definition,
1. coefficient
a number, a variable, or the product
of a number and variable(s)
a letter used to represent an
unknown number
The number in front of a variable in
2. constant
3. term
a term
a single term, multiple terms
connected by an addition or subtraction
sign
a number, a term containing no
4. variable
5. expression
variables
TURNITIN
NEXT QUESTION
READ NEXT SECTION
ASK FOR HELP

Answers

Answer:

Definitions matched below with vocabulary words

Step-by-step explanation:

A number, a variable, or the product of a number and variable(s)

→ 3. term

A letter used to represent an unknown number

→ 4. variable

The number in front of a variable in a term

→ 1. coefficient  

A single term, multiple terms connected by an addition or subtraction sign

→ 5. expression

A number, a term containing no variables

→ 2. constant

evaluate 2x+y for x=1/3 and y=2/3

a.1/3
b.2/3
c.4/3
d.5/3

Answers

Answer:

C. 4/3

Step-by-step explanation:

2 × ⅓ + ⅔

⅔ + ⅔ = 4/3

Use X as ⅓, and use Y as ⅔.

2. The graph represents the amount
of water, y, left in a 13.5-gallon tub
after x minutes. What is the slope of
the line? What does the slope mean
in this context?

Answers

Answer:

Slope: -3/2

With the question, we can determine that the slope with two points: (0,13.5) and (9,0). To calculate use the equation [tex]\frac{y2-y1}{x2-x1}[/tex] and get [tex]\frac{0-13.5}{9-0} =\frac{-13.5}{9} =\frac{-3}{2}[/tex]

This slope means that the water is decreasing at a rate of 3/2 gallons per minute.

A 3-quart carton costs $2.79, while a 4-quart carton costs $3.88. Which is the better buy and why?

Answers

Answer: the 4 quart is a better buy

Step-by-step explanation:

Gravitational energy_____.
A. is a type of potential energy
B. Is the energy of an object position
C. Is stored energy
D. All of the above
SOLVE QUICKLY PLEASE!!

Answers

Answer:

A. is the type of potential energy

Step-by-step explanation:

examples of gravitational potential energy : a raised in weight , a yoyo,water in a dam,a car parked on a hill

Solve the following equation for b. Be sure to take into account whether a letter is capitalized or not.

gb-m=9

Answers

Answer:

g=10

b=1

m=1

Step-by-step explanation:

i really really hope can see this

Answers

Answer:

did u ever figure it out?

Step-by-step explanation:

PLEASE HELP ME WILL GIVE BRAINLIEST FOR RIGHT ANSWER​

Answers

Answer:

Step-by-step explanation:

I dont really know how to find out the variables but what i assume to do is this:

Find the square root of n and add it to m. The sum of both you divide by p. then when you figure that out, you distribute the x value into the parenthesis. This might be obvious but i looked at this question for 10 minutes and couldnt  find the value sorry :(

Answer:

m = 11
n = 145
p = -4

As you substitute the equation -2x^2 – 11x + 3 = 0 (from factorising x(-2x-11) = -3) into the quadratic formula to find the values of m, n and p.

Please help, im stuck
Solve 6[9 - (9x - 8)] + 3x = 0.

A. 2
B. -5/4
C. -32/47
D. 2/15
E. None of the above

Answers

Answer: 2

Step-by-step explanation:

distribute: 6 [ 9 − 9 + 8 ] + 3 = 0

add the numbers: 6 [ 1 7 − 9 ] + 3 = 0

rearrange terms: 6 [ − 9 + 1 7 ] + 3 = 0

distribute again: − 5 4 + 1 0 2 + 3 = 0

combine like terms:  − 5 4 + 1 0 2 + 3 = 0

Subtract  102  from both sides of the equation: − 5 1 + 1 0 2 − 1 0 2 = 0 − 1 0 2

simplify:− 5 1 = − 1 0 2

Divide both sides of the equation by the same term: -51x/-51 = -102/-51

simplify: 2

i hope this helps! ^^

PLEASE HELP WORTH 50 POINTS!

Answers

Jessica’s mistake is that when isolating h from b, she multiplied b instead of dividing it on both sides. The new formula for h would be A/2b=h.
Now let’s solve. 23/2(6)=h
23/12
Approx. 1.91

Answer:

the question was not correctly solved

Step-by-step explanation:

A=½bh

23=½*b*h

²/1×23= bh

²/1×23=6h

46=6h

h=7.666666667 / h=23/3

I hope this is helpful

Which has a greater rate of change?
pick one

Answers

I think the yellow line.
It’s the steepest so I has the greatest rate of change.

The quadratic function g(x)=ax^2+bx+c has the complex roots (10+i) and (10-i). You may assume that a=1.
What is the value of b?
What is the value of c?

Answers

The values are [tex]b=-20\text{ and }c=101[/tex]

The quadratic function, expressed in factored form is

[tex](x-(10+i))(x-(10-i))=g(x)[/tex]

Expanding and simplifying

[tex]g(x)=(x-(10+i))(x-(10-i))\\=x^2-x(10-i)-x(10+i)+(10+i)(10-i)\\=x^2-10x+xi-10x-xi+100-i^2\\=x^2-10x-10x+100+1\\=x^2-20x+101[/tex]

since

[tex]g(x)=ax^2+bx+c=x^2-20x+101[/tex]

we can equate coefficients of like-terms and conclude that

[tex]a=1,b=-20,c=101[/tex]

Learn more about quadratic equations here: https://brainly.com/question/12995618

You are a civil engineer working on the design of a new
green space in your city. The space will include gardens,
playgrounds, and picnic areas. One section of the park will
be in the shape of a right triangle. A diagram of the
requirements for the triangular space is shown below.

2x+2 yards
2x yards
2x+4 yards

1. Explain what you know about the space you will be designing. List at least three pieces
of information. (2 points)

Answers

The2nd one is the best one

What is the value of q in the equation 49 - 2 = 39+8?
q
=
10
0 -
7
10
7
06
0 10

Answers

Answer:

The is no "q" in the equation provided.  If there is supposed to be, please add it.  Otherwise, q is undefined.  It can have any value.  I choose 0.

Step-by-step explanation:

mai has 36$ to spend on movie tickets each movie ticket cost 4.50$ how many ticket can she buy multiplication problem

Answers

Answer:

8

Step-by-step explanation:

Mai has $36 and each movie ticket is $4.50.

You wanna divide 36 by 4.50 to find out how much tickets she can purchase which is 8.

Choose the linear equations.

Answers

Answer:

y = [tex]\frac{3}{3}[/tex]x - 5

y = 2x + 5

Step-by-step explanation:

In linear equations, both variables x and y must have the exponent of 1 (i.e. they cannot have a small number at the top-right). And they cannot be in the exponents (i.e. cannot be the small number at the top-right).

NEED HELP ASAP PLS
Rearrange the equation, make the graph table, graph
y -3x=0

Answers

y=3x
******************
y=3x that’s the answer

Catrina wants to purchase a new bag she found on sale for $68. The bag is originally priced at $80. What is the percent of change in the price of the bag?

Answers

Answer: The percent change of the bag is 15%.

Rewrite the fraction 2/7 as a division expression with the same numbers.

Answers

Answer:

EZ. Btw you kinda already did it. 2/7 is a division problem. Another way is 2 divided by 7

Step-by-step explanation:

Write the equation of the line that is parallel to the line y=−14x−3 through the point (4,4).

Answers

Hello there! :)

Parallel lines have the same slope, so if one line has a slope of -14, then the line parallel to it has a slope of -14 as well.

We are also given a point that the line passes through.

That's enough information to find the equation of the line.

First, we write the equation in point-slope form, which looks like so:

y-y1=m(x-x1)

y1 is the y-coordinate of the point, m is the slope of the line and x1 is the x-coordinate of the point.

y-4=-14(x-4)

y-4=-14x+56

y=-14x+60

Hence, that's the equation. Hope it helps.

~A lonely teen who helps others with a smile

-Grace

Good luck.

Hard work problem please help me find the sum

Answers

-3 + -2 + -4 = -9

the total is -9

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