Question

simplify
(a)$\frac{25x^2}{4}-\frac{y^2}{9}$
(b)${\left(\sqrt{5}+\sqrt{2}\right)}^2$

Answer 1

Part(A),

$\frac{25x^2}{4}-\frac{y^2}{9}$

$={\left(\frac{5x}{2}\right)}^2-{\left(\frac{y}{3}\right)}^2$

$=(\frac{5x}{2}+\frac{y}{3})(\frac{5x}{2}-\frac{y}{3})$

Part(B),

${(\sqrt{5}+\sqrt{2})}^2$

$={\left(\sqrt{5}\right)}^2+{\left(\sqrt{2}\right)}^2+2\sqrt{5}\times \sqrt{2}$

$=5+2+2\sqrt{10}$

$=7+2\sqrt{10}$

Hence, this is the answer.