Question

Evaluate:$102\times 106$

Answer 1

Using the formula $(x+a)(x+b)$ = $x^2+(a+b)x+ab$

Writing $102=100+2$ and $106=100+6$

Taking $x=100$, $a=2$, $b=6$ and substituing in the above formula we get: $(100+2)(100+6)$ = ${100}^2+(2+6)100+\left(2\right)\left(6\right)$ $=10000+800+12$
Hence the answer is $10812$