Question

What is the answer of factor a³-64

Answer 1

Answer:

${a}^{3} - 64 \\ \\ = ({a}^{3}) - ( {4}^{3}) \\ \\ = (a - 4)( {a}^{2} + {4}^{2} + 4a) \\ \\ = (a - 4)( {a}^{2} + 16 + 4a)$

JUST USE THE IDENTITY:

a^3-b^3=(a-b)(a^2+b^2+ab)

HERE,

a=a

b=4.