Question

Find the value of (106)² using identity

Answer 1

The given data in the above question,

It is given that the value is $(106)^{2}$

we have to evaluate the given equation using identity.

Thus, evaluation of the given value we get,

Identity is comparing one expression with other,

Re writing the given value we get,

$106^{2} =(100+6)^{2}$

Comparing the given equation we get,

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

substitute in above equation we get,

$\begin{array}{l}=(100)^{2}+(6)^{2}+2(6)(100) \\=10000+36+1200 \\=11236\end{array}$

Hence the value is 11236.