Question

Multiply the following: (-) + ?)​

Answer 1

Refer the attachment ↑

Answer 2

Answer:

$\frac{1}{180} * (144x^2+10xy+525y^2)$

Step-by-step explanation:

( $\frac{2x}{3}$-$\frac{5y} {4}$ ) * ( $\frac{6x}{5}$+$\frac{7y} {3}$ )

= $\frac{2x}{3}$( $\frac{6x}{5}$+$\frac{7y} {3}$ ) - $\frac{5y} {4}$( $\frac{6x}{5}$+$\frac{7y} {3}$ )

= $\frac{2x}{3}$* $\frac{6x}{5}$ + $\frac{2x}{3}$*$\frac{7y} {3}$  - $\frac{5y} {4}$* $\frac{6x}{5}$ -  $\frac{5y} {4}$*$\frac{7y} {3}$

= $\frac{12x^{2}}{15}$  +  $\frac{14xy}{9}$  - $\frac{30xy}{20}$  - $\frac{35y^{2}}{12}$

= $\frac{4x^{2}}{5}$ +  $\frac{14xy}{9}$  - $\frac{3xy}{2}$  - $\frac{35y^{2}}{12}$

= $\frac{4x^{2}}{5}$ +  $\frac{28xy}{18}$  - $\frac{27xy}{18}$  - $\frac{35y^{2}}{12}$

= $\frac{4x^{2}}{5}$ +  $\frac{xy}{18}$   - $\frac{35y^{2}}{12}$

= $\frac{144x^2+10xy+525y^2}{180}$

= $\frac{1}{180} * (144x^2+10xy+525y^2)$