Question

$75\times 75+2\times 75\times 25+25\times 25isequalto$

• A. 10000
• B. 6250
• C. 7500
• D. 3750

Answer 1

The correct option is A

10000

$75\times 75+2\times 75\times 25+25\times 25$

$=(75{)}^2+2\times 75\times 25+(25{)}^2\{\because a^2+2ab+b^2=(a+b{)}^2\}=(75+25{)}^2=(100{)}^2=10000$