Question

help pls factorize the following expression by regrouping
4(x-y)²+12(x-y)​

Answer 1

Answer:

Given expression is x

4

y

4

−xy

We can take out xy as common.

Hence, the expression becomes:

xy(x

3

y

3

−1)

⇒xy[(xy)

3

−1

3

]

We know that, a

3

−b

3

=(a−b)(a

2

+b

2

+ab)

Hence, the expression becomes:

xy[(xy−1)((xy)

2

+1

2

+1(xy))]

⇒xy[(xy−1)(x

2

y

2

+1+xy)]

⇒xy(xy−1)(x

2

y

2

+xy+1)

Hence, x

4

y

4

−xy=xy(xy−1)(x

2

y

2

+xy+1).

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

+xy+1 is answer please make me brainslit please