Question

Factorize: 4x2 – y 2 + 2x – 2y -3xy
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Answer 1

Answer:

The zero of the equation is at x=y.

∴ x−y is a factor .

Given expression is 4x 2 −y 2 −2x−2y−3xy.

=4x 2 −3xy−y 2 −2x−2y.

=4x 2 −4xy+xy−y 2 +2x−2y

=4x(x−y)+y(x−y)+2(x−y)

=(x−y)(4x+y+2)

Step-by-step explanation:

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Answer 2

Answer:

Answer

Correct option is

B

(x−y)(4x+y+2)

The zero of the equation is at x=y.

∴ x−y is a factor .

Given expression is 4x

2

−y

2

−2x−2y−3xy.

=4x

2

−3xy−y

2

−2x−2y.

=4x

2

−4xy+xy−y

2

+2x−2y

=4x(x−y)+y(x−y)+2(x−y)

=(x−y)(4x+y+2)