Question

$(76.32{)}^2-(28.82{)}^2=?$

• A. 5014.25
• B. 4975
• C. 4994.15
• D. 5000
• E. None of these

Answer 1

The correct option is C 4994.15

Here, $(76.32{)}^2-(28.82{)}^2=?$
We can simplify this as $(76.32{)}^2-(28.82{)}^2$
$=(76.32+28.82)(76.32-28.82)$
$[\because a^2-b^2=(a+b\left)\right(a-b\left)\right]$
$=\left(105.14\right)\left(47.5\right)=4994.15$