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Mathematics 22 Online
OpenStudy (hysusonic):

can you check my answer pls?

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

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

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!

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?

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

OpenStudy (fibonaccichick666):

np, very good work

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