Question

Factorise : (x-3y)2 + 12xy

Answer 1

Answer:

(x+3y)(x+3y)

Step-by-step explanation:

(x-3y)2 +12xy = x2 - 6xy + 9y2 +12xy

                     = x2 + 6xy + 9y2

                     = (x)2 + (2)(x)(3y) + (3y)2

                     = (x)2 + (x)(3y) + (x)(3y) + (3y)2

                     = x (x+3y) + 3y(x+3y)

                     = (x+3y)(x+3y)