Question

Factorize the following expression.
(i) x (x - y)² + 3x² y (x-y)​

Answer 1

Answer:

X(X-Y)²+3X²Y(X-Y) =

X(X-Y)(X-Y+3XY) =

X(X-Y)(X+3XY-Y)

Answer 2

Step-by-step explanation:

Given : x(x+y)

3

−3x

2

y(x+y)

Taking x(x+y) as common in the given question,

we get, x(x+y)[(x+y)

2

−3xy]

We know that, (a+b)

2

=a

2

+b

2

+2ab

x(x+y)

3

−3x

2

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

2

+y

2

+2xy−3xy)

So we get,

x(x+y)

3

−3x

2

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

2

+y

2

−xy)