Question

Find the product of the following binomials :

(i) $(\frac{4}{3}{x}^2+3)(\frac{4}{3}{x}^2+3)$

Answer 1

(i) We have,
= ${(\frac{4}{3}{x}^2+3)}^2$ [ a.a = $a^2$]
= ${\left(\frac{4}{3}{x}^2\right)}^2+2\times \frac{4}{3}{x}^2\times 3+(3{)}^2$
[Using : $(a+b{)}^2-a^2+2ab+b^2$]
= $\frac{16}{9}{x}^4+8x^2+9$