Question

(14] Factorize : 9a? - 30 ab + 25 b?​

Answer 1

Answer:

$9 {a}^{2} - 30ab + 25 {b}^{2} = ({3a)}^{2} + 2 \times 3a \times ( - 5b) + { (- 5b)}^{2}$

$= {(3a - 5b)}^{2}$

Answer 2

Answer:

$9 {a}^{2} - 30ab + 25 {b}^{2} \\ = {3}^{2} {a}^{2} - 30ab + {5}^{2} {b}^{2} \\ = {(3a)}^{2} - 30ab + {(5b)}^{2} \\ = {(3a)}^{2} - (2 \times 3a \times 5b) + {(5b)}^{2} \\ \boxed{ \large{ \color{red} {a}^{2} - 2ab + {b}^{2} = {(a - b)}^{2} }} \\ = \underline{ \underline{ \large {(3a - 5b)}^{2} }}$