Question

simplify
(x/3 + 9y/5) (x/3 + 9y/5)
​

Answer 1

Answer:

(x/3+9y/5)

${( \frac{x}{3} + \frac{9y}{5} )}^{2} = \frac{ {x}^{2} }{9} + \frac{81 {y}^{2} }{25}$

Answer 2

To solve : $(\frac{x}{3} + \frac{9y}{5}) ( \frac{x}{3} + \frac{9y}{5} )$

Solution :

• To solve algebraic expression $(\frac{x}{3} + \frac{9y}{5}) ( \frac{x}{3} + \frac{9y}{5} )$  we write in the form of :$a^{2} = a \times a$
• Therefore , $(\frac{x}{3}+\frac{9y}{5})(\frac{x}{3} + \frac{9y}{5}) =(\frac{x}{3}+\frac{9y}{5}) ^{2}$
• On solving , we get $(\frac{x}{3}+\frac{9y}{5}) ^{2} = \frac{x^{2} }{9} + \frac{81y^{2} }{25}$
• Taking LCM of denominators , we get ,

                                                        $= \frac{25x^{2} + 729y^{2} }{225}$

Hence , correct answer of above expression is   $\frac{25x^{2} + 729y^{2} }{225}$  .