Question

2xy^ 3 -3y^ 2 1 2 y =\ by factor
​

Answer 1

Answer:

You can treat it like a quadratic, where instead of constant numbers, there are

y

terms.

First, find two numbers that multiply to

−

3

(the

c

value of the "quadratic") and add up to

−

2

(the

b

value of the "quadratic").

These two numbers are

−

3

and

1

. Split the middle term into these two numbers. Then, factor the first two and last two terms separately, then combine them:

=

x

2

−

2

x

y

−

3

y

2

=

x

2

+

x

y

−

3

x

y

−

3

y

2

=

x

(

x

+

y

)

−

3

x

y

−

3

y

2

=

x

(

x

+

y

)

−

3

y

(

x

+

y

)

=

(

x

−

3

y

)

(

x

+

y

)

This is the factored form. Hope this helped!