+0  
 
0
800
1
avatar

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

 Oct 4, 2017

Best Answer 

 #1
avatar+9466 
+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 .

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

 Oct 4, 2017
 #1
avatar+9466 
+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

7 Online Users

avatar
avatar
avatar
avatar
avatar
avatar