Question

Find the product of (4x-3y) and (16x^2+12xy+9y^2) using suitable identity

Answer 1

( 4x -3y) and ( 16x² +12xy + 9y²) are given
(4x -3y){(4x)² +(4x)(3y)+(3y)²} =?

we know,
( a - b)( a² + ab + b²) = a³ -b³
use this identity for solving this

so,
(4x -3y){(4x)² +(4x)(3y)+(3y)² } =(4x)³ -(3y)³
=64x³ -27y³

Answer 2

Hi friend,

first solve 16x^2+12xy+9y^2

(4x)^2+(4x)(3y)+(3y)^2

(4x-3y){((4x)^2+(4x)(3y)+(3y)^2)}

It is in the form (a-b)(a^2+ab+b^2)=a^3-b^3
in this way we can write (4x)^3-(3y)^3=64x^3-27y^3