Question

solve this questions step by step​

Answer 1

a)25a²b² - 36c²

$25a²b² - 36c² \\ => (5ab)² - (6c)² \\ => \color{purple}{a²-b² = (a+b)(a-b)} \\ => \boxed{(5ab+6c)(5ab+6c)}$

b)72/x² - 8y²/9

$\frac{72}{x²} - \frac{8y²}{9} \\ => 8(\frac{9}{x²} - \frac{y²}{9}) \\ => 8 [(\frac{3}{x})² - (\frac{y}{3})²] \\ => \color{orange}{a²-b²=(a+b)(a-b)} \\ => \boxed{8 (\frac{3}{x}+\frac{y}{3}) (\frac{3}{x}-\frac{y}{3})}$

Hope it helped