Question

Divide by polynomial to monomial.

Answer 1

(4xy^3-8x^3y^2-8y^2)/(4xy)

Answer 2

Hint:

you can break up

(4xy^3-8x^3y^2-8y^2)/(4xy)

to get

(4xy^3)/(4xy) - (8x^3y^2)/(4xy) - (8y^2)/(4xy)

Answer 3

I really want a fully solved example of this. Not a hint.

Answer 4

Or at least show me step by step.

Answer 5

Simplify (4xy^3)/(4xy) and tell me what you get

Answer 6

xy^2 ?

Answer 7

good

Answer 8

- (8x^3y^2)/(4xy) simplifies to _____

Answer 9

2x^2y

Answer 10

close

Answer 11

xy^2-2x^2y is the equation?

Answer 12

yes you have it so far, just one more to do

Answer 13

2/1x^2y?

Answer 14

-(8y^2)/(4xy) simplifies to -2y/x

Answer 15

so

(4xy^3)/(4xy) - (8x^3y^2)/(4xy) - (8y^2)/(4xy)

turns into

y^2 - 2x^2y - 2y/x

Answer 16

sorry above I meant to say that (4xy^3)/(4xy) turns into y^2 (and NOT xy^2)

Answer 17

uh...

Answer 18

where are you stuck?

Answer 19

the full final equation is y^2-2x^2y-2y/x ?

Answer 20

correct, it's an expression (not an equation), but you get the idea

Answer 21

so thats it? O;

Answer 22

yes

Answer 23

Oh, Thank you.

Answer 24

yw

Answer 25

(4xy^3-8x^3y^2-8y^2)/(4xy)

Factor 4y^2 from the top.

(4y^2(xy - 2x^3 - 2))/(4xy)

Now using Exponent law for division, we can reduce the y^2 to just y in the numerator and we can cancel out the 4.

(y(xy - 2x^3 - 2))/(x)

You can expand the numerator to get:

(-2x^3y + xy^2 - 2y) / (x)

That's the final expression. Not much more for you to do.

@ikoreanx3