Question

factorize 64a³+125b³​

Answer 1

$\bold\red{Question:-}$

Factorize :-

$64a {}^{3} + 125b^{3}$

$\bold\purple{Solution:-}$

$64a {}^{3} + 125b {}^{3}$

▪️Using Identity :- a³+b³ = (a+b) (a²- ab +b²)

$- > (4a) {}^{3} + (5b) {}^{3} \\ - > (4a + 5b) \: (4a {}^{2} - (4a)(5b) + 5b {}^{2} ) \\ - > (4 a+ 5b) \: (16a {}^{2} - 20ab + 25b {}^{2} )$