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OpenStudy (anonymous):
\[\left[\begin{matrix}a & b \-\ b & a\end{matrix}\right]\left(\begin{matrix}a- a ^{2} \\ a+b\end{matrix}\right)\]
OpenStudy (anonymous):
the way thats written is kinda confusing...
OpenStudy (anonymous):
a-a^2 divided by a+b?
OpenStudy (anonymous):
times ab/-ab?
OpenStudy (anonymous):
yeah!
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OpenStudy (anonymous):
ab/-ab
whats that?
OpenStudy (anonymous):
no its a/b-b/a
OpenStudy (anonymous):
oh i see
so then you find a common denominator which in this case would be ab
OpenStudy (anonymous):
then solve that
OpenStudy (anonymous):
what do you get?
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OpenStudy (anonymous):
i dont kno how to solve it
OpenStudy (anonymous):
a/b-b/a
the common denominator is ab
so multiplay a/b by a and multiply b/a by b
a^2/ab -b^2/ab
(a^2-b^2)/ab
then that can be factored as the difference of two squares
(a-b)(a+b)
OpenStudy (anonymous):
then wahts the second part of the problem?
(a-a^2)/a-b?
OpenStudy (anonymous):
(a-a^2)/(a-b)
OpenStudy (anonymous):
(a-a^2/a+b)
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OpenStudy (anonymous):
well in the numerator you can factor out an a. a(1-a) and the denominator we can cancel out since the numerator of the other problem contains a+b
so with that we have
[(a-b)/ab][a(1-a)]
OpenStudy (anonymous):
we can cancel out the a in the numerator and denominator
a-b/b times 1-a
OpenStudy (anonymous):
okay
OpenStudy (anonymous):
is that the final answer?
OpenStudy (anonymous):
multiply it out and post what you get
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