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Factorisation Using Algebraic Identities

x+23+x-23=2 x...

Question

$(x + 2)^{3} + (x - 2)^{3} = 2 x (x^{2} + 12)$

A

True

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B

False

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Solution

The correct option is B
False

$(x + 2)^{3} + (x - 2)^{3} = 2 x (x^{2} + 12)$

$x^{3} + 8 + 2 (2 x) (x + 2) + x^{3} - 8 - 2 (2 x) (x - 2)$

$x^{3} + 8 + 4 x^{2} + 8 x + x^{3} - 8 - 4 x^{2} + 8 x$

$2 x^{3} + 16 x$

$2 x (x^{2} + 8)$

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Similar questions

(x + 2)^{3} = 2 x (x^{2} - 1)

Q. Check whether the following is quadratic equation.

(x + 2)^{3} = 2 x (x^{2} - 1)

Q. Check whether the following are Quadratic equations

{(x + 2)}^{3} = 2 x (x^{2} - 1)

(x + 2)^{3} = 2 x (x^{2} - 1)

and check whether its is a quadratic equation.

Q. Question 1(vii)
Check whether the following are quadratic equations:
(vii)

(x + 2)^{3} = 2 x (x^{2} - 1)

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