Question

Simplify and find the value of following expression:
$(235{)}^2+(231{)}^2-(470\times 231)$

• A. $16$
• B. $0$
• C. $4$
• D. $9$

Answer 1

The correct option is A $16$

Given expression is
$(235{)}^2+(231{)}^2-(470\times 231)$
On rearranging we get,
$\Rightarrow (235{)}^2-(2\times 235\times 231)+(231{)}^2$
It is of the form $(x-y{)}^2=x^2-2xy+y^2$
$\Rightarrow (235{)}^2-(2\times 235\times 231)+(231{)}^2=(235-231{)}^2$
$\Rightarrow (235{)}^2-(2\times 235\times 231)+(231{)}^2=(4{)}^2=16$

So, the value of given expression is $16$.