Simplify ${\left(2\sqrt{5}+3\sqrt{2}\right)}^2$.

Q. Simplify each of the following:

(i) 175 × 175 + 2 × 175 × 25 + 25 × 25

(ii) 322 × 322 − 2 × 322 × 22 + 22 × 22

(iii) 0.76 × 0.76 + 2 × 0.76 × 0.24 + 0.24 × × 0.24

(iv) $\frac{7.83\times 7.83-1.17\times 1.17}{6.66}$

Q. Simplify the following expressions:

(i) ${\left(\sqrt{3}+\sqrt{7}\right)}^2$

(ii) ${\left(\sqrt{5}-\sqrt{3}\right)}^2$

(iii) ${\left(2\sqrt{5}+3\sqrt{2}\right)}^2$

Q.

Simplify each of the following :

(i) $175\times 175+2\times 175\times 25+25\times 25$

(ii) $322\times 322-2\times 322\times 22+22\times 22$

(iii) $0.76\times 0.76+2\times 0.76\times 0.24+0.24\times 0.24$

(iv) $\frac{7.83\times 7.83-1.17\times 1.17}{6.66}$

Q. Simplify

Q. Simplify $\frac{(2^2{)}^3}{(3^2{)}^2}$