Question

Algebraic expression of squares (a/b+b/3)square

Answer 1

Answer:

$\green {= \frac{a^{2}}{b^{2}} + \frac{2}{3} a + \frac{b^{2}}{9} }$

Step-by-step explanation:

$\left( \frac{a}{b} + \frac{b}{3} \right)^{2}$

$= \left( \frac{a}{b}\right)^{2} + 2\times \left(\frac{a}{b}\right) \times \left(\frac{b}{3}\right) + \left(\frac{b}{3}\right)^{2}$

$\boxed { \pink { (x+y)^{2} = x^{2} + 2xy + y^{2}}}$

$= \frac{a^{2}}{b^{2}} + \frac{2}{3} a + \frac{b^{2}}{9}$

Therefore.,

$\red {\left( \frac{a}{b} + \frac{b}{3} \right)^{2}}$

$\green {= \frac{a^{2}}{b^{2}} + \frac{2}{3} a + \frac{b^{2}}{9} }$

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