Question

Solve

$(56{)}^2-(55{)}^2$

Answer 1

${\left(56\right)}^2-{\left(55\right)}^2$

Using $a^2-b^2=(a+b)(a-b)$

$\Rightarrow {\left(56\right)}^2-{\left(55\right)}^2=(56+55)(56-55)$

$=\left(111\right)\left(1\right)$

$=111.$

Hence, the answer is $111.$