Question

Simplify: $1.05\times 0.95$ using identities.

Answer 1

Given: $1.05\times 0.95$

$=(1.00+0.05)(1.00-0.05)$

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

$=(1.00{)}^2-(0.05{)}^2$

$=1.0000-0.0025$

$=0.9975$