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

Guest Oct 4, 2017

Best Answer 

 #1
avatar+7056 
+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
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1+0 Answers

 #1
avatar+7056 
+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

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