Question

Compute the value of the following expression $25\times 75$

• A. 1925
• B. 1825
• C. 1875
• D. 1975

Answer 1

The correct option is C

1875

The given expression is

$25\times 75$

$=(50-25)(50+25)$

$=(50{)}^2-(25{)}^2\left[\right(x-y\left)\right(x+y)=x^2-y^2]$

$=2500-625$

$=1875$