(i) Factorise the expression x^3 + 3x - x^2 - 3 completely.

(ii) Hence, express (x^2 – 3)^3 - (2 - x^2)^2 + 3(x^2- 3) in the form (x^4+Ax^2+B)(x^2+ C), where A, B and C are integers.

(i) Factorise The Expression X^3 + 3x - X^2 - 3 Completely.(ii) Hence, Express (x^2 3)^3 - (2 - X^2)^2

Answers

Answer 1

Step-by-step explanation:

Answer 1 put all like terms then solve

hope it helps....

(i) Factorise The Expression X^3 + 3x - X^2 - 3 Completely.(ii) Hence, Express (x^2 3)^3 - (2 - X^2)^2
Answer 2

a) The value of the equation is A = ( x - 1 ) ( x² + 3 )

b) The value of the equation is B = ( x⁴ - 6x² + 10 ) ( x² - 4 )

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

a)

The equation is A = x³ + 3x - x² - 3  

On simplifying the equation , we get

A = x³ - x² + 3x - 3

A = x² ( x - 1 ) + 3 ( x - 1 )

On factorizing the equation , we get

A = ( x² + 3 ) ( x - 1 )

b)

The equation is B = ( x² - 3 )³ - ( 2 - x² )² + 3 ( x² - 3 )

On simplifying the equation , we get

B =  ( x² - 3 )³ - ( x⁴ - 2x² - 2x² + 4 ) + 3 ( x² - 3 )

On further simplification , we get

B = ( x² - 3 )³ - x⁴ + 4x² - 4 + 3x² - 9

B = ( x² - 3 )³ - x⁴ + 7x² - 13

On factorizing the equation , we get

B = ( x - 2 ) ( x⁵ + 2x⁴ - 6x³ - 12x² + 10x + 20 )

B = ( x - 2 ) ( x + 2 ) ( x⁴ - 6x² + 10 )

And , on further simplification , we get

B = ( x² - 4 ) ( x⁴ - 6x² + 10 )

Hence , the equation is B = ( x² - 4 ) ( x⁴ - 6x² + 10 )

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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show work

Answers

Answer:

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Step-by-step explanation:

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189-75.60

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2.113.40/189

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3.0.6*100

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

Check out the rules in below picture.

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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427

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Plz give brainliest

Help please!

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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