Question

Factorize the following
a³-64​

Answer 1

64 is the cube of 4

a3 is the cube of a1

Factorization is :

(a - 4) • (a2 + 4a + 16)

Answer 2

Solution:-

$\implies \: a {}^{3} - 64$

can we be written as

$\implies \: a {}^{3} - 4 {}^{3}$

we know that formula of

$\implies \pink{a {}^{3} - b {}^{3} = (a - b)(a {}^{2} + b {}^{2} + ab) }$

$\implies \: (a - 4)(a {}^{2} + 4 {}^{2} + a.4) \\ \\ \\ \implies \: (a - 4)(a {}^{2} + 16 + 4a)$

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thanks