Question

factorise

36x^2-16y^2

Answer 1

Hello mate!......

given》

$36x {}^{2} - 16y {}^{2} \\ \\ 6 {}^{2} x {}^{2} - 4 {}^{2} y {}^{2} \\ \\ (6x) {}^{2} - (4y) {}^{2} \\ \\ we \: know..... \\ \\ x {}^{2} - y {}^{2} = (x + y)(x - y) \\ \\ (6x + 4y)(6x - 4y) \\ \\ hope \: it \: helps \: u$

Answer 2

Hi....!!

Let's factorise 36x^2-16y^2

Firstly let's bring into the simplest form....

36x^2-16y^2 = (6x)^2- (4y)^2

Now this is in (a)^2-(b)^2 identity....


(a)^2-(b)^2= (a+b)(a-b)

(6x)^2-(4y)^2 = (6x+4y)(6x-4y)

Hope this helps.....!!

^_^