+0  
 
0
231
1
avatar

Assuming x doesn't equal -5 simplify (2x+10)^7/(x+5)^6

Guest Oct 4, 2017

Best Answer 

 #1
avatar+7153 
+1

     \(\frac{(2x+10)^7}{(x+5)^6}\)

                          Factor a  2  out of  (2x + 10)  to get   2(x + 5) .

\(=\,\frac{(\,2(x+5)\,)^7}{(x+5)^6}\)

                          Remember that, for example,  (ab)3  =  ab * ab * ab  =  aaa * bbb  =  a3b3

\( =\,\frac{2^7(x+5)^7}{(x+5)^6}\)

                          Reduce the fraction by  (x + 5)6 .

\(=\,\frac{2^7(x+5)}{1} \\~\\ =\,128(x+5) \\~\\=\,128x+640\)

hectictar  Oct 4, 2017
 #1
avatar+7153 
+1
Best Answer

     \(\frac{(2x+10)^7}{(x+5)^6}\)

                          Factor a  2  out of  (2x + 10)  to get   2(x + 5) .

\(=\,\frac{(\,2(x+5)\,)^7}{(x+5)^6}\)

                          Remember that, for example,  (ab)3  =  ab * ab * ab  =  aaa * bbb  =  a3b3

\( =\,\frac{2^7(x+5)^7}{(x+5)^6}\)

                          Reduce the fraction by  (x + 5)6 .

\(=\,\frac{2^7(x+5)}{1} \\~\\ =\,128(x+5) \\~\\=\,128x+640\)

hectictar  Oct 4, 2017

9 Online Users

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.