Question

Factorize:-
$64x^3+72x^{2}y+27x{y}^2+\frac{27}{8}{y}^3$

Answer 1

Now,

$64x^3+72x^{2}y+27x{y}^2+\frac{27}{8}{y}^3$

$=(4x{)}^3+3.(4x{)}^2.\frac{3y}{2}+3.4x.\frac{9y^2}{4}+\frac{27}{8}{y}^3$

$={(4x+\frac{3y}{2})}^3$.