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Mathematics 17 Online
LilUziFanGirl:

help pls

LilUziFanGirl:

UkuleleGirl:

you have my math?!

UkuleleGirl:

GIRL IM LITERALLY DOING THIS MATH

UkuleleGirl:

were going to do factoring.

UkuleleGirl:

ok so you know what the x method is

LilUziFanGirl:

the one for factoring?

LilUziFanGirl:

oh yeah i know the x factor

UkuleleGirl:

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.

LilUziFanGirl:

-9 and - 3

UkuleleGirl:

Yesh

UkuleleGirl:

.\[\frac{ (x-9)(x-3) }{ (x+3)}\] this is what you have now. this is the first side.

LilUziFanGirl:

yes but wouldnt it be different bc it has degrees

UkuleleGirl:

no it doesnt...

LilUziFanGirl:

the variables have powers of more than 2

UkuleleGirl:

oh yea..

UkuleleGirl:

well we factored..

LilUziFanGirl:

i was just wonderig if it would have a different outcome because of the powers

UkuleleGirl:

lets continue on the line first. then if its wrong we will Salsa that.

UkuleleGirl:

uhhhhhhhh

UkuleleGirl:

I think i spelled that wrong.

LilUziFanGirl:

lol

UkuleleGirl:

I meant acess.

LilUziFanGirl:

ok so what we do next

UkuleleGirl:

ok to make it easier. lets do the bottom on the other side first.

UkuleleGirl:

factor that side.

UkuleleGirl:

the same as what we did on the other one

UkuleleGirl:

but this time. make sure you multiply 6 and 324.

UkuleleGirl:

whatever u get, should be at the top of your x

Hero:

@liluzifangirl wrote:
i was just wonderig if it would have a different outcome because of the powers
Yes the outcome is going to be different because of the powers

UkuleleGirl:

0-0 aparenty i was wrong so I got someone to help you

LilUziFanGirl:

@vocaloid

summermorgan:

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.

umm:

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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