Question

x2-y2+4y-4 factorize​

Answer 1

x

2

−

y

2

−

4

y

−

4

Factor

−

1

out of

−

y

2

−

4

y

−

4

.

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x

2

−

(

y

2

+

4

y

+

4

)

Factor using the perfect square rule.

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x

2

−

(

y

+

2

)

2

Since both terms are perfect squares, factor using the difference of squares formula,

a

2

−

b

2

=

(

a

+

b

)

(

a

−

b

)

where

a

=

x

and

b

=

y

+

2

.

(

x

+

y

+

2

)

(

x

−

(

y

+

2

)

)

Simplify.

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(

x

+

y

+

2

)

(

x

−

y

−

2

)

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Answer 2

Step-by-step explanation:

x²-y²+4y-4

= (x)²-{(y)²-2×y×2+(2)²}

= (x)²-(y-2)²

= {x+(y-2)}{x-(y-2)}

= {x+y-2}{x-y+2}