Question

x(x+y)^3-3x^2(x+y) what is the answer

Answer 1

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Factorise : x(x+y)

3

−3x

2

y(x+y)

Medium

Solution

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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)