SOLUTION: I was trying to work this problem and ended up with a lock up ( I call this )when you have a bunch of letters and numbers that keep repeating themselves. I am sure that I am doing

Question 70035This question is from textbook Beginning Algebra
: I was trying to work this problem and ended up with a lock up ( I call this )when you have a bunch of letters and numbers that keep repeating themselves. I am sure that I am doing this incorrectly. Please Help.
7x^5 y^5 - 21x^4 y^4 + 14x^3 y^3/ 7x^3 y^3
Thanks. This question is from textbook Beginning Algebra

Found 2 solutions by funmath, bucky:
Answer by funmath(2933) (Show Source): You can put this solution on YOUR website!

7x^5 y^5 - 21x^4 y^4 + 14x^3 y^3/ 7x^3 y^3
If this is what you mean:

you can factor and cancel.

Or if you prefer, when the bottom is a monomial you can separate and cancel:

Both are valid ways of simplifying this expression.
Happy Calculating!!!!

Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!

.
Notice that 7 can be factored from each of the terms in the numerator so that the problem
becomes:
.

.
In this form it is easier to recognize that the multiplier 7 in the numerator cancels
with the multiplier 7 in the denominator to reduce the problem to:
.

.
Similarly, you can next factor an from every term in the numerator to get:
.

.
Then notice that this multiplier in the numerator cancels with the
multiplier in the denominator. This reduces the problem to:
.

.
Finally, you can factor a from every term in the numerator to get:
.

.
And recognize that the multiplier of the numerator cancels with the
in the denominator to leave you with just:
.

.
This might be the answer you were looking for, but notice also that this can be factored
into:
.

.
and maybe this is the answer form you were looking for.
Hope this helps you to see a form for dividing polynomials that might be useful.
RELATED QUESTIONS
When writing an inequality for a word problem, do the units have to be converted to have... (answered by stanbon)
I am trying to use the pythagorean theorem on right triangles. We are supposed to do the... (answered by greenestamps,ikleyn)
Two positive real numbers have a sum of 7 and a product of 11. Find the numbers. I don't (answered by Earlsdon)
You are traveling down the interstate averaging 50mph. How much time bass passed when you (answered by Alan3354)
A combination lock for a bicycle contains four digits, each of which can have a value of... (answered by scott8148)
How many distinct permutations of 4 letters from EAGLES are there? I first tried to do (answered by ikleyn)
sqrt(x-6)+3=sqrt(x) does this have a real solution? first i subtracted the 3 over,... (answered by jim_thompson5910,scott8148)
"The sum of the digits of a certain two digit number is 13. When you reverse its digits... (answered by addingup)
I might not have the topic exactly right, but I have an issue. This assignment was due... (answered by josgarithmetic,Edwin McCravy,MathLover1,ikleyn)