Question

please solve this problem​

Answer 1

Step-by-step explanation:

${hello}$

Your question:

$( \frac{3}{4} a + \frac{4}{5} b) ^{2}$

Your answer:

$= ( \frac{3}{4} a + \frac{4}{5} b) ^{2}$

$= (\frac{3}{4} a) ^{2} +( 2 \times \frac{3}{4} a \times \frac{4}{5} b) + ({ \frac{4}{5} b})^{2}$

[ use the property : (a+b)^2 = a^2+2ab+b^2 ]

$= \frac{9}{16} {a}^{2} + \frac{6}{5} ab + \frac{16}{25} {b}^{2}$

[ multiply ]

$\colorbox{aqua}{final \: answer}$

$= \frac{9}{16 } {a}^{2} + 2 \frac{6}{5} ab + \frac{16}{25} {b}^{2}$