Question

factorise 9 x square Y - 24 x y square + 16 y cube​

Please give me answer fast

Answer 1

9 x^2y - 24xy^2 + 16 y^3

y(9x^2 - 24 xy + 16 y^2)

y( 3x- 4y)^2

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

put a= 3x ,b= 4y

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

= 9 x^2 - 24xy +16 y^2

So its y( 3x-4y)^2