Question

Find the product using a suitable identity: $\left(x+3\right)\left(x-3\right)$

Answer 1

Simplify using the algebraic identities :

The given expression is $\left(x+3\right)\left(x-3\right)$.

It can be simplified as follows,

$\left(x+3\right)\left(x-3\right)={\left(x\right)}^2-{\left(3\right)}^2$ $[\because (a+b)(a-b)=a^2-b^2]$

$\Rightarrow \left(x+3\right)\left(x-3\right)=x^2-9$

Hence, the product of $\left(x+3\right)\left(x-3\right)$ is $x^2-9$.