Question

Factories:
${ 8x}^{3} - 27$
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Answer 1

Answer: $(2x+3)^{3}$

Step-by-step explanation:

$8x^{3} -27\\=(2x)^{3} -3^{3} \\According\ to\ the\ formula,\\x^{3} -y^{3} =(x-y)(x^{2} +xy+y^{2} )\\=(2x+3)[(2x)^{2} +2(2x)(3)+3^{2} )\\=(2x+3)(4x^{2} +12x+9)\\=(2x+3)(4x^{2} +6x+6x+9)\\=(2x+3)[2x(2x+3)+3(2x+3)]\\=(2x+3)(2x+3)(2x+3)\\=(2x+3)^{3}$

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