Question

Find the square of the following numbers.
$32$
$35$

• A. $1024;1225$
• B. $2024;1225$
• C. $1024;1125$
• D. $924;1025$

Answer 1

The correct option is A $1024;1225$

${32}^2=(30+2{)}^2$
$=30(30+2)+2(30+2)$
$={30}^2+30\times 2+2\times 30+2^2$
$=900+60+60+4=1024$
${35}^2=(30+5{)}^2=30(30+5)+5(30+5)$
$={30}^2+30\times 5+5\times 30+5^2$
$=900+150+150+25=1225$.