Question

factorise each of the following ( 1 to 21) : 16 (x+y)^2-25 (x-3y)^2​

Answer 1

Step-by-step explanation:

given

$( {x + y)}^{2} - 25( {x - 3y)}^{2} \\ \\ taking \: sqre \: root \: out \\ we \: get \\ \\ (x + y) - 5(x - 3y) \\ \\ x + y - 5x + 15y \\ \\ x - 5x + y + 15y \\ \\ - 4x + 16y \\ \\ 4( - x + 4y)$