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OpenStudy (anonymous):
What is the product in simplest form? State any restrictions on the variable.
z^2/z + 1 times z^2 + 3z+2/z^2 + 3z
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OpenStudy (anonymous):
\[\frac{ z^2 }{ z + 1}\times \frac{ z^2 + 3z + 2 }{ z^2 + 3z }\]
OpenStudy (anonymous):
@tcarroll010 how do you do this one ?
OpenStudy (anonymous):
@abb0t
OpenStudy (anonymous):
@tcarroll010
OpenStudy (anonymous):
@cgreenwade2000 do you know how to do this !?
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OpenStudy (cgreenwade2000):
start by breaking down (x^2 + 3z + 2)
OpenStudy (cgreenwade2000):
It's easier actually to just factor everything as much as possible and then reducing from there.
OpenStudy (anonymous):
(x + 2)(x + 1) ?
OpenStudy (cgreenwade2000):
Yes. Now factor z^2 and z^2+3z
OpenStudy (anonymous):
um idk that
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OpenStudy (anonymous):
@cgreenwade2000
OpenStudy (cgreenwade2000):
z^2 = z*?
OpenStudy (cgreenwade2000):
and z^2 +3z = ?
There is something you can pull from those terms
OpenStudy (anonymous):
z ?
OpenStudy (cgreenwade2000):
yes so you can simplify z^2 to get z*z
what can you factor out of z^2 + 3z?
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OpenStudy (anonymous):
z(z +3) @cgreenwade2000
OpenStudy (cgreenwade2000):
Yes.
Now rewrite your problem with your factored expressions in
OpenStudy (anonymous):
z*z x (x + 2)(x + 1)/z(z +3) ? @cgreenwade2000
OpenStudy (cgreenwade2000):
|dw:1358455438447:dw|
You put some x's in there. Be careful of that. There are no x variables in this problem
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