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Mathematics 8 Online
OpenStudy (18jonea):

. Divide https://api.agilixbuzz.com/Resz/~Ey6YBAAAAAgEZefyIL-PwB.M_YTdx6Nkwl7EE_fuD_m-A/19809088,B87/Assets/assessmentimages/alg%202%20pt%202%20u4l8%201.jpg

OpenStudy (18jonea):

OpenStudy (18jonea):

those are my options @MARC_D

OpenStudy (18jonea):

@ParthKohli

OpenStudy (18jonea):

@karim728

OpenStudy (18jonea):

@UnkleRhaukus

OpenStudy (18jonea):

@.Sam.

OpenStudy (18jonea):

@triciaal

MARC (marc_d):

where is the question? @18jonea

OpenStudy (18jonea):

the link after divide

MARC (marc_d):

oh ok..

MARC (marc_d):

\[\frac{ x^2+7x+12 }{ x^2-9 }\div \frac{ x+4 }{ x-4 }\]\[=\frac{ (x+3)(x+4) }{ x^2-3^2 }\div \frac{ x+4 }{ x-4 }\]

OpenStudy (18jonea):

that doesnt match any of my answers though

MARC (marc_d):

\[=\frac{ (x+3)(x+4) }{ (x-3)(x+3) }\div \frac{ x+4 }{ x-4 }\]

MARC (marc_d):

\[=\frac{ (x+3)(x-4) }{ (x-3)(x+3) }\times \frac{ x-4 }{ x+4 }\]

OpenStudy (triciaal):

to divide by a fraction invert and multiply x^2 - 9 can be factored as the difference of 2 squares

MARC (marc_d):

simplify it

OpenStudy (triciaal):

restrictions you do not want to have 0 in the denominator

MARC (marc_d):

always keep in mind that\[a^2-b^2=(a+b)(a-b)\]

OpenStudy (18jonea):

x-4/x-3 but i dont know the resprictons

MARC (marc_d):

yup, what @triciaal said was correct.. restrictions means you do not want to have 0 in the denominator

OpenStudy (18jonea):

i think the answer would be b then

MARC (marc_d):

for example\[\frac{ 1(numerator) }{ 0(denominator) }\]

OpenStudy (18jonea):

OpenStudy (18jonea):

would that be right or would it be a

OpenStudy (18jonea):

@MARC_D

OpenStudy (18jonea):

@triciaal

MARC (marc_d):

\[=\frac{ (x+3)(x+4) }{ (x-3)(x-3) }\times \frac{ (x-4) }{ (x+4) }\]simplify it\[=\frac{ \cancel{(x+3)}\cancel{(x+4)} }{ (x-3)\cancel{(x+3)} }\times \frac{ (x-4) }{ \cancel{(x+4)} }\]

OpenStudy (triciaal):

what is your question?

OpenStudy (18jonea):

right i got the x-4/x-3 now i need to do the restrictions

OpenStudy (triciaal):

do you understand what a restriction means? read above

MARC (marc_d):

restrictions means you do not want to have 0 in the denominator..for example\[\frac{ x+9 }{ x-10 },x \neq10\]

OpenStudy (18jonea):

ok so it is just 3

OpenStudy (triciaal):

you want to exclude x-values that will make the denominator zero you do not divide by 0

OpenStudy (18jonea):

answer is a

MARC (marc_d):

correct! @18jonea

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