I have tried using distributive property and then dividing by 4x but it does't seem to make sense. I get an answer of 6xy + x^2y/2...

Any help would be greatly appreciated. The entire thing is being divided by 4x in the question.

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- Thread starter AJ22
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I have tried using distributive property and then dividing by 4x but it does't seem to make sense. I get an answer of 6xy + x^2y/2...

Any help would be greatly appreciated. The entire thing is being divided by 4x in the question.

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Hi AJ. When texting, we show numerators and denominators by putting grouping symbols around them (except when they're a single number). Like this:3xy(4x^2 + 3x) - 5x^2(2xy - 3y) / 4x

The entire thing is being divided by 4x in the question

(3xy(4x^2 + 3x) - 5x^2(2xy - 3y))/(4x)

[imath]6xy + \frac{x^2y}{2}[/imath]I get an answer of 6xy + x^2y/2

EDIT: Yes, that's correct. (I'd dropped an x in my previous attempt.)

If it looks strange, you could write the factor 1/2 in front (a coefficient)

[imath]6xy + \frac{1}{2}x^2y[/imath]

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You meant to type the y also, yes? With the grouping symbols fixed, that's a factored form of the simplification.would there be any factoring involved before dividing by 4x. If thats the case I seem to get an answer of [x(x+12)[/2]

[xy(x+12)]/[2]

Were I to write that, I would express dividing by two as multiplying by 1/2.

1/2(xy)(x + 12)

Good job simplifying, with both results.

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I wouldn't think so. You probably want the simplified polynomial in your first post as the answer.would there be any factoring involved before dividing by 4x.

6xy + (1/2)(x^2y)

But, whether we were going for that polynomial form or a factored version of it, I still believe that distributing and combining like-terms in the numerator first (as you did) is the way to go.

My initial goofed-up claim probably threw you off.