factorise by taking out Common Factor x(x+y)^3-3x^2y (x+y)
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Step-by-step explanation:
Answer
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)
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