Question

expand and simplify 2(x-3)^2 - (2x-3)^2

Answer 1

$\tt{ Given}$

$\rm{2\ (x-3)^{2}-\ (2x-3)^{2}}$

$\tt{Solution}$

$\sf{2\ (x-3)^{2}-\ (2x-3)^{2}}$

$\sf{2( \ x^{2}+9-6x)-( \ 4x^{2}+9-12x)}$

$\sf{ \ 2x^{2}+9-6x- \ 4x^{2}-9+12x}$

$\sf{- \ 2x^{2}+6x}$

$\sf{- 2( \ x^{2}+3x)}$

$\sf\boxed{-2x( x+3)}$