Question

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Answer this question ⤵⤵


$\bold{factorise : 4x^{3} \: - \: 18x \: - 54 \: }$


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Answer 1

2(x-3) (2x^2 +6x+9) is the answer......

Answer 2

Given Equation is 4x^3 - 18x - 54.

It can be written as:

⇒ 2(2x^3 - 9x - 27)

⇒ 2(2x^3 + 6x^2 - 6x^2 + 9x - 18x - 27)

On rearranging the terms, we get

⇒ 2(2x^3 + 6x^2 + 9x - 2x^3 - 18x - 27)

⇒ 2(x(2x^2 + 6x + 9) - 3(2x^2 + 6x + 9))

⇒ 2(x - 3)(2x^2 + 6x + 9).

Hope it helps!