Divide and Simplify: (2(x+1)^2)/(5x) divided by (7(x+1))/(10x^2)

nip050

New member
Joined
Mar 1, 2017
Messages
1
Can someone please help me with this? Tutors keep overcomplicating it.

2(x + 1)2
5x
[FONT=&quot]÷[/FONT]
7(x + 1)
10x2


The answer 1/7x(x+1) is incorrect.

I have worked out a few other very similar questions to this and got them right, I am just having trouble with this one.

3(x + 1)2
5x
[FONT=&quot]÷[/FONT]
9(x + 1)
10x2
This was one that was easy and the correct answer is 2/3x (x+1)

Thanks!
 

ksdhart2

Senior Member
Joined
Mar 25, 2016
Messages
1,053
Alright, so you've given the (incorrect) answer that you found for the first problem, although you've not shown any work as to how you got there. The answer you've shown:

\(\displaystyle \dfrac{1}{7} \cdot x \cdot (x+1)\)

is very close to the actual answer. But, unfortunately, we can't troubleshoot work we can't see. I'll assume that you took the standard first step of using the reciprocal to turn the division problem into a multiplication problem:

\(\displaystyle \dfrac{2(x+1)^2}{5x} \div \dfrac{7(x+1)}{10x^2}=\dfrac{2(x+1)^2}{5x} \times \dfrac{10x^2}{7(x+1)}\)

And from there, you multiplied straight across, as per the rules of fraction multiplication. But what did you do after that? Please share all of your work with us, even the parts you know for sure are wrong. Thank you.
 
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