Mathematics
21 Online
OpenStudy (anonymous):
Mutiply:
1) x^2+8x+15/x^2+3x x x^2/2x+10
2)x^2-9/x^2+x-12 x x^2-16
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OpenStudy (anonymous):
\[1) \frac{ x^{2}+8x+15 }{ x^{2}+3x} \times \frac{ x^{2} }{ 2x+10 }\]
OpenStudy (anonymous):
\[2)\frac{ x^{2}-9 }{x^{2}+x-12 } \times x^{2}\]
OpenStudy (anonymous):
first, factor everything.
OpenStudy (anonymous):
So I factor what adds to what and multiples to what?
OpenStudy (anonymous):
factor the first part of 1)
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OpenStudy (anonymous):
Yes I understand, but do I factor what adds to 8 and multiples to 15? I'm brainwashed right now @_@.
OpenStudy (anonymous):
And if that's correct, it would be 5 & 3.
OpenStudy (anonymous):
yes, you do. factor *everything*
OpenStudy (anonymous):
Okay so the first line would look like x(x+3)(x+5)?
OpenStudy (anonymous):
x^2(x+3)(x+5)
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OpenStudy (anonymous):
Okay, how do I factor below the x^2 + 3x?
OpenStudy (anonymous):
x(x+3)
OpenStudy (anonymous):
and you can factor a 2 out of the denominator of the other fraction
OpenStudy (anonymous):
How would that look? er sorry lol .
OpenStudy (anonymous):
2(x+5)
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OpenStudy (anonymous):
\[\frac{ x^{2}(x+3)(x+5) }{x(x+3)} \times \frac{ x^{2} }{ 2{(x+5)} }\]
OpenStudy (anonymous):
So then, the x+3 cancels out.
OpenStudy (anonymous):
Do the x squared's cancel out & the x+5 or not?
OpenStudy (anonymous):
|dw:1366854232765:dw|
OpenStudy (anonymous):
then you cancel
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OpenStudy (anonymous):
|dw:1366854374181:dw|?
OpenStudy (anonymous):
x^3 / 2?
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
now the next one?
OpenStudy (anonymous):
or can you do that yourself?
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hartnn (hartnn):
isn't 1st just x/2 ??
OpenStudy (anonymous):
Hartnn is gonna help me out. So I can move on to division.
hartnn (hartnn):
quite sure, 1st = x/2
OpenStudy (anonymous):
thank you hartnn, I was again making a stupid error.