Question

4x/5 + y/4)(4x/5 + 3y/4)

Answer 1

Answer:

$\frac{16 {x}^{2} }{24} + \frac{4xy}{5} + \frac{3 {y}^{2} }{16}$

Step-by-step explanation:

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

using these identity

$(x + a)(x + b) = {x}^{2} + (a + b)x + ab$

using these ,

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

$= \frac{16 {x}^{2} }{24} + \frac{4xy}{5} + \frac{3 {y}^{2} }{16}$

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