Question

Evaluate $(102{)}^2$ using suitable identity

• A. 4xz
• B. 4xy
• C. 4xz
• D. 4xyz

Answer 1

The correct option is B

4xy

Given that $(102{)}^2$
= $(100+2{)}^2$
Using $(a+b{)}^2$ = $(a+b{)}^2$ = $a^2+2ab+b^2$

= $(100{)}^2+2(100\left)\right(2)+(2{)}^2$
= 10000 + 400 + 4
= 10404