Question

divide 9xy (25x2+4y2+20xy) by 3x (5x+2y)​

Answer 1

Explanation:

$\sf \: 25 {x}^{2} + 4 {y}^{2} + 20xy$

$\sf \: ( {5x)}^{2} + ( {2y)}^{2} + 2 \times 5x \times 2y$

$= \sf \: ( {5x + 2y)}^{2}$

$\sf \: now \: divide \: \frac{9xy(25 {x}^{2} + 4 {y}^{2} + 20xy) }{3x(5x + 2y) }$

$\sf \: = \frac{9xy(5x + 2y) {}^{2} }{3x(5x + 2y)}$

$\sf \: = 3y(5x + 2y)$