Question

Factorise : x³-64 ........



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Answer 1

Answer:

..

Both x3 and 64=43 are perfect squares.

Both x3 and 64=43 are perfect squares.So we can use the sum of cubes

Answer 2

$\huge\pink{Answer}$

x3+64=(x+4)(x2−4x+16)

Explanation:

Both x3 and 64=43

are perfect squares.

So we can use the sum of cubes identity:

a3+b3=(a+b)(a2−ab+b2)

with

a=x

and

b=4

as follows:

x3+64=x3+43=(x+4)(x2−x(4)+42)=(x+4)(x2−4x+16)

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