Question

Factorise the following expressions.
$p^2-q^2$

Answer 1

We know that,

$a^2-b^2=\left(a+b\right)\left(a-b\right)$

Given that,

$p^2-q^2$ (Let $a=p$ and $b=q$)

$L.H.S=p^2-q^2=\left(p+q\right)\left(p-q\right)$

$=p^2-pq+pq-q^2$

$=p^2-q^2$

$R.H.S$ proved

Then,

We get factorise is $\left(p+q\right)\left(p-q\right)$