Question

Factorize 5xy -5x + 6 - 6y

​

Answer 1

Please see the image description

Answer 2

Answer:

For a polynomial of the form

a

x

2

+

b

x

+

c

, rewrite the middle term as a sum of two terms whose product is

a

⋅

c

=

6

⋅

−

6

=

−

36

and whose sum is

b

=

5

.

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6

x

2

−

4

x

y

+

9

x

y

−

6

y

2

Factor out the greatest common factor from each group.

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2

x

(

3

x

−

2

y

)

+

3

y

(

3

x

−

2

y

)

Factor the polynomial by factoring out the greatest common factor,

3

x

−

2

y

.

(

3

x

−

2

y

)

(

2

x

+

3

y

)