Could someone help? Medal for best answer.

Divide. Assume the denominator does not equal zero.

Question

Could someone help? Medal for best answer.

Divide. Assume the denominator does not equal zero.

anonymous · Answer

$$\frac{ 12x^2y-6xy+4x^2 }{ 2xy }$$

anonymous · Answer

Please explain how to get the answer, don't just give the answer to me.

mrnood · Answer

first of all compare it with this:
$$\frac{ a+b+c }{ d } = \frac{ a }{ d} + \frac{ b }{ d} + \frac{ c }{ d }$$

so break up your expression in th esame way into three terms

anonymous · Answer

So,$$\frac{ 12x^2y }{ 2xy }+\frac{ -6xy }{ 2xy }+\frac{ 4x^2 }{ 2xy }$$

mrnood · Answer

good

now just cancel factors top and bottom in each term

(e.g. cancel out the y in the first term)

anonymous · Answer

$$6x+(-3)+\frac{ 2x }{ y }$$ Like that?

mrnood · Answer

That seem to be the best option in my opinion

anonymous · Answer

Is there any more steps to this, or is that the answer?

mrnood · Answer

well all the terms are of different 'orders' of xy so that is an acceptable answer

you could collect the x terms - but this is not really a 'simpler answer:

$$\frac{ x(6y+2) }{ y }-3$$

anonymous · Answer

Thanks for your help :)