Question

solve 322*322-2*322*22+22*22without actual multiplication​

Answer 1

■ Solution :

$32 2 \times 322 - 2 \times 322 \times 22 + 22 \times 22$

We can write this as,

${322}^{2} - 2 \times 322 \times 22 + {22}^{2} \\ \\ = (322 - 22) ^{2} \\ \\ = {300}^{2} \\ \\ = 90000$

Formula used :

$(a - b) ^{2} = {a}^{2} - 2ab + {b}^{2}$

Hope this helps you ☺