Question

Factorise each of the following: 16 (x + y)² – 25 (x – 3y)² using identites​

Answer 1

Identity used:

(a+b)² = a² + 2ab + b²

Step-by-step explanation:

$16( {x}^{2} + {y}^{2} ) - 25 {(x - 3y)}^{2}$

$= 16 {x}^{2} + 16 {y}^{2} - 25( {x}^{2} + {9y}^{2} - 6xy)$

$= 16 {x}^{2} + 16{y}^{2} - 25 {x}^{2} - 225 {y}^{2} + 150xy$

$= - 9 {x}^{2} - 209 {y}^{2} + 150xy \: \: \: (or) \: \: \: 9{x}^{2} + 209 {y}^{2} - 150xy$

Answer 2

Answer:

,

Step-by-step explanation:

hope it help you.....