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Mathematics 18 Online
OpenStudy (anonymous):

Simplfiy The Expression plz answer ASAP

OpenStudy (anonymous):

jimthompson5910 (jim_thompson5910):

Can you factor the numerator and denominator at all?

OpenStudy (anonymous):

what do u mean

jimthompson5910 (jim_thompson5910):

What does x^2+5x+6 factor to

OpenStudy (anonymous):

i dont know im really confused in these algebra questions

jimthompson5910 (jim_thompson5910):

Notice how 2 and 3 multiply to 6 and add to 5 So x^2+5x+6 factors to (x+2)(x+3)

jimthompson5910 (jim_thompson5910):

What about the denominator

OpenStudy (anonymous):

Yes, you can simplify this. \[\frac{x^2+5x+6}{x^2+x-2}=\frac{(x+3)(x+2)}{(x-1)(x+2)}\] After factoring. Thus, we get, after cancelling \[\frac{(x+3)}{(x-1)}, x\neq-2\]

OpenStudy (anonymous):

x^2+x-2 is the bottom part of the fraction

jimthompson5910 (jim_thompson5910):

yes, can that be factored? if so, what does it factor to?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

(x+2)(x+2)

jimthompson5910 (jim_thompson5910):

not quite

jimthompson5910 (jim_thompson5910):

Find two numbers that multiply to -2 and add to 1

OpenStudy (anonymous):

wow this is hard

jimthompson5910 (jim_thompson5910):

it will get easier with more practice

OpenStudy (anonymous):

-2*1=-2

jimthompson5910 (jim_thompson5910):

close, more like 2*(-1) = -2 and 2 + (-1) = 1 So it factors to (x+2)(x-1)

OpenStudy (anonymous):

oh

jimthompson5910 (jim_thompson5910):

You'll notice there's a 'x+2' up top and a 'x+2' in the bottom, they cancel and go away

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

|dw:1346551722615:dw|so ill stay with

jimthompson5910 (jim_thompson5910):

yes

jimthompson5910 (jim_thompson5910):

you can erase the parenthesis if you want since they're not doing anything

jimthompson5910 (jim_thompson5910):

so that means choice D is your answer

OpenStudy (anonymous):

ok thank u

jimthompson5910 (jim_thompson5910):

np

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