Question

5. Factorize : (x2 – 5x + 6)2 – (x2 – 6x + 8)2

Answer 1

$\bf\red{\underline{\underline{Answer:}}}$

$\bold{ -28(x-1) \ is \ the \ factorised \ form.}$

$\bold\orange{Given:}$

$\bold{=>(x^{2}-5x+6)2-(x^{2}-6x+8)2}$

$\bold\green{\underline{\underline{Solution}}}$

$\bold{=>(x^{2}-5x+6)2-(x^{2}-6x+8)2}$

$\bold{=>2x^{2}-10x+12-2x^{2}-18x+16}$

$\bold{=>-28x+28}$

$\bold{=>-28(x-1)}$

$\bold\purple{\tt{\therefore{ -28(x-1) \ is \ the \ factorised \ form.}}}$