Question

Factors of 64a^3 - 343b^3 are____

Answer 1

Step-by-step explanation:

$64 {a}^{3} - 343 {b}^{3}$

$= ( {4a)}^{3} - ( {7b)}^{3}$

$= (4a - 7b)( \: \: ( {4a)}^{2} + 4a \times 7b + ( {7b)}^{2} \: )$

$= (4a - 7b)(16 {a}^{2} + 28ab + 49 {b}^{2} )$