Question

$(185{)}^2-(115{)}^2=\_\_\_\_\_\_\_\_\_\_\_\_.$

Answer 1

Finding the value of the expression:

The given value of the expression $(185{)}^2-(115{)}^2$

We know the identity, $a^2-b^2=\left(a+b\right)\left(a-b\right)$

On comparing expression with the identity we get, $a=185,b=115$

Substituting value in identity we have:

$$\begin{gathered} {\left(185\right)}^2-{\left(115\right)}^2=\left(185+115\right)\left(185-115\right) \\ =300\left(70\right) \\ =21000 \end{gathered}$$

Hence the value of expression, ${\left(185\right)}^2-{\left(115\right)}^2=21000$.