Question

Factorize each of the following expressions:
64a³ -b³

Answer 1

Answer:

Given expression

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

64a^3 can be written as (4a)^3 and b^3 can be written as (b)^3

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

By using identity

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

$(4a - b)( {(4a)}^{2} + {b}^{2} + 4a.b)$

$4a - b( {16a}^{2} + {b}^{2} + 4ab)$

Which is the required answer