help pls
you have my math?!
GIRL IM LITERALLY DOING THIS MATH
were going to do factoring.
ok so you know what the x method is
the one for factoring?
oh yeah i know the x factor
Yes. so what you wanna do is put 27 at the top and -12 at the bottom. Divide 27 by all the numbers until u find out what adds or subtracts to -12 and multiplies to 27.
-9 and - 3
Yesh
.\[\frac{ (x-9)(x-3) }{ (x+3)}\] this is what you have now. this is the first side.
yes but wouldnt it be different bc it has degrees
no it doesnt...
the variables have powers of more than 2
oh yea..
well we factored..
i was just wonderig if it would have a different outcome because of the powers
lets continue on the line first. then if its wrong we will Salsa that.
uhhhhhhhh
I think i spelled that wrong.
lol
I meant acess.
ok so what we do next
ok to make it easier. lets do the bottom on the other side first.
factor that side.
the same as what we did on the other one
but this time. make sure you multiply 6 and 324.
whatever u get, should be at the top of your x
0-0 aparenty i was wrong so I got someone to help you
@vocaloid
this is super easy if you use https://www.desmos.com/calculator all you have to do is type in the question and it gives you the answer. this is useful for highschool math.
Given: \[\frac{ x^5-12x^4+27x^3 }{ x+6 } \times \frac{ 2x^2-72 }{ 6x^2-90x+324 }\] Start out with second fraction and factor:\[2x^2-72\] Rewrite it as:\[72 = 2\times36\] Factor out common term, which is 2: \[=2(x^2-36)\] Now we factor out what's in the parentheses: \[x^2-36\] Rewrite that as:\[36=6^2\] Apply difference of two squares formula (example): \[x^2-y^2=(x+y)(x-y)\] Our's should look like this: \[x^2-6^2=(x+6)(x-6)\] \[=(x+6)(x-6)\] \[=2(x+6)(x-6)\] So now it should look like so: \[=\frac{ 2(x+6)(x-6) }{ 6x^2-90x+324 }\] Now to factor the bottom half: Rewrite it as:\[90=6 \times15\]\[324=6 \times54\] Should look like this:\[=x^2-6\times15x+6\times 54\] Factor out common term, which is 6: \[=6(x^2-15x+54)\] Factor out: \[x^2-15+54\] Break the expression into groups (example): \[(ax^2+ux)+(vx+c)\] Our's should look like this: \[(x^2-6x)+(-9x+54)\] Factor out x from: \[x^2=6x\] Apply exponent rules (example): \[a^b+c=a^b a^c\] Our's should look like this:\[x^2=xx\] \[=xx-6x\] Factor out common term, which is x: \[=x(x-6)\] Now for:\[-9x+54\] Rewrite:\[54=-9 \times 6\] Factor out common term, which is -9: \[=-9(x-6)\] Should look like this now: \[=6(x-6)(x-9)\] \[=\frac{ 2(x+6)(x-6) }{ 6(x-6)(x-9) }\] Cancel common factor, x-6: \[=\frac{ 2(x+6) }{ 6(x-9) }\] Factor the number, 6 = 3*3 \[=\frac{ 2(x+6) }{ 6(x-9) }\] Cancel the common factor, 2: \[=\frac{ x+6 }{ 3(x-9) }\] \[=\frac{ x^2-12^4+27x^3 }{ x+6 } \times \frac{ x+6 }{ 3(x-9) }\] Cross cancel common factor, x +6: \[=\frac{ x^2-12x^4+27x^3) }{ 3(x-9) }\] Therefore, your final answer is: \[=\frac{ x^2-12x^4+27x^3) }{ 3(x-9) }\]
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