Question

(a + 2b)³- (a -2b)³​

Answer 1

Answer:

$12a^{2}b + 16b^{3}$

Step-by-step explanation:

we know that $a^{3} - b^{3} = (a-b)(a^{2} +ab + b^{2} )$

put a as a+2b

and b as a-2b

the eqn becomes

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

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

$4b( 3a^{2} + 4b^{2})$

$12a^{2}b + 16b^{3}$