Question

Solve equations using factorization method:

$x^2-16=0$

Answer 1

Step : Factorising the equation:

$x^2-16=0$

$\Rightarrow (x-4)(x+4)=0$

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

$\Rightarrow x-4=0orx+4=0$ {zero product rule}

$\Rightarrow x=4orx=-4$

Hence, the required answer is $x=4orx=-4$.