Question

Question 3(iv)
Find the following squares by using identities:
${(\frac{2}{3}m+\frac{3}{2}n)}^2$

Answer 1

${(\frac{2}{3}m+\frac{3}{2}n)}^2={\left(\frac{2}{3}m\right)}^2+2\times \frac{2}{3}m\times \frac{3}{2}n+{\left(\frac{3}{2}n\right)}^2$
$\left[Usingidentity\right(a+b{)}^2=a^2+2ab+b^2]$
$=\frac{4}{9}{m}^2+2mn+\frac{9}{4}{n}^2$