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OpenStudy (anonymous):
Factor and simplify the algebraic expression
(X+9)^(1/4)+(x+9)^(3/4)
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OpenStudy (anonymous):
@nincompoop
OpenStudy (anonymous):
@bibby
OpenStudy (anonymous):
@undeadknight26
OpenStudy (anonymous):
@kirbykirby
OpenStudy (kirbykirby):
Maybe it helps if you think of a substitution \((x+9)^{1/4}=y\)
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OpenStudy (anonymous):
And how will I solve that?
OpenStudy (kirbykirby):
If \((x+9)^{1/4}=y\), then \((x+9)^{3/4}=\left((x+9)^{1/4}\right)^3=y^3\)
So you have \(y+y^3\)
OpenStudy (anonymous):
Okay what do I do after that?
OpenStudy (kirbykirby):
factor \(y+y^3\)
OpenStudy (anonymous):
Y(y+y^2)
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OpenStudy (kirbykirby):
almost, \(y(1+y^2)\), then try substitution back what y is in its x-variable
OpenStudy (anonymous):
I'm not understanding
OpenStudy (kirbykirby):
plug back \(y=(x+9)^{1/4}\) into the above result
OpenStudy (anonymous):
Y(x+9)^(1/4)
jimthompson5910 (jim_thompson5910):
Close
\[\large y(1+y^2)\]
\[\large (y)(1+(y)^2)\]
\[\large ((x+9)^{1/4})(1+((x+9)^{1/4})^2)\]
\[\large (x+9)^{1/4}*(1+(x+9)^{2/4})\]
\[\large (x+9)^{1/4}*(1+(x+9)^{1/2})\]
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OpenStudy (anonymous):
Okay what'd you do for the first step?
OpenStudy (anonymous):
Never mind it get it, can you give me another problem so I can do it on my own
OpenStudy (anonymous):
@jim_thompson5910
jimthompson5910 (jim_thompson5910):
how about factoring this
|dw:1410988085575:dw|
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