How do you simplify #(10x^5)/(2x^3+2x^2)#?

1 Answer
Mar 3, 2018

Answer:

#(5x^3)/(x+1)#

Explanation:

In the denominator, simply it by taking out the greatest common factor in both terms.
This happens to be #2x^2#; both terms have that in common.
The denominator would become #2x^2(x+1)# (if you re-distribute this to check, you'll see that you get #2x^3+2x^2#)

Now you have #(10x^5)/(2x^2(x+1))#
Dividing powers is just subtracting the numbers, so #x^5/x^2=x^(5-2)=x^3#, and #10/2=5#

You're left with #5x^3xx1/(x+1)=(5x^3)/(x+1)# which cannot be simplified further.