Question

9(a-b)^2-16(c-d)^2 factorise ​

Answer 1

Answer:

(3a-3b+4c-4d)(3a-3b-4c+4d)

Step-by-step explanation:

Let (a-b)=x and (c-d)=y

So, Now:

9x^2-16y^2

=(3x)^2-(4y)^2

=(3x+4y)(3x-4y)

=(3(a-b)+4(c-d))(3(a-b)-4(c-d))

=(3a-3b+4c-4d)(3a-3b-4c+4d).