Question

Simplify:

$p^2-3p-(a+1)(a-2)$

Answer 1

Now,

$p^2-3p-(a+1)(a-2)$

$=p^2-\left\{\right(a+1)-(a-2\left)\right\}p-(a+1)(a-2)$ $[\because 3$ can be written as $3=(a+1)-(a-2)]$

$=p^2-(a+1)p+(a-2)p-(a+1)(a-2)$

$=p(p-a-1)+(a-2)(p-a-1)$

$=(p-a-1)(p+a-2)$.