Mathematics
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OpenStudy (hysusonic):
can you check my answer pls?
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OpenStudy (fibonaccichick666):
sure! just show us your work and we'll be happy to
OpenStudy (hysusonic):
the equation is \[x^2-4x+4/x^2+10+25*x+5/x^2+3x-10\]
OpenStudy (hysusonic):
and my answer is \[(x-2)/(x+5)^2\]
OpenStudy (fibonaccichick666):
ok, and what did you have to do? simplify?
OpenStudy (hysusonic):
yea simplify
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OpenStudy (fibonaccichick666):
so, let's make sure we write this correctly first, \[\frac{x^2−4x+4}{(x^2+10+25}\times \frac{x+5}{x^2+3x−10}\]
Is this it?
OpenStudy (hysusonic):
yea i think
OpenStudy (fibonaccichick666):
if you see question marks refresht he page
OpenStudy (fibonaccichick666):
ignore the one parenthesis
OpenStudy (hysusonic):
yea thats my equation thanks for the refresh tip
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OpenStudy (fibonaccichick666):
ok, so now, what did you do first?
OpenStudy (hysusonic):
factored each thing that can be factored
OpenStudy (fibonaccichick666):
ok, and in words or typed, what did they factor to?
OpenStudy (hysusonic):
\[x^2-4x+4= (x-2)^2\]
\[x^2+10x+25= (x+5)^2\]
\[x^2+3x-10= (x-2)(x+5)\]
OpenStudy (fibonaccichick666):
very good!
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OpenStudy (fibonaccichick666):
ok so now, let me rewrite that
OpenStudy (fibonaccichick666):
\[\frac{(x-2)^2}{(x+5)^2}\times \frac{(x+5)}{(x-2)(x+5)}\]
OpenStudy (fibonaccichick666):
so now, what did you do?
OpenStudy (hysusonic):
canceled out like terms
OpenStudy (fibonaccichick666):
and what did that leave you with?
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OpenStudy (fibonaccichick666):
(You can just say I said it above)
OpenStudy (hysusonic):
\[x-2/x+5*x+5\] i think
OpenStudy (fibonaccichick666):
yep, which is your answer from above, so you are indeed correct!
OpenStudy (hysusonic):
yay thank you
OpenStudy (fibonaccichick666):
now the important thing to remember here is how you multiply fractions as we did not mention that
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OpenStudy (fibonaccichick666):
np, very good work