Question

$(\frac{4x}{5 } + \frac{y}{4} )( \frac{4x}{5} + \frac{3y}{4})$
Find the expansion of.......using suitable identity.​

Answer 1

Step-by-step explanation:

(x+a)(x+b)=x²+(a+b)x+ab

$( \frac{4x}{5} + \frac{y}{4} )( \frac{4x}{5} + \frac{3y}{4} )$

$( { \frac{4x}{5} })^{2} + ( \frac{y}{4} + \frac{3y}{4} ) \frac{4x}{5} + (\frac{y}{4} )( \frac{3y}{4} )$

$\frac{16 {x}^{2} }{25} + \frac{4y}{4} \times \frac{4x}{5} + \frac{3 {y}^{2} }{16}$

$\frac{16 {x}^{2} }{25} + \frac{4xy}{5} + \frac{3 {y}^{2} }{16}$