5

88-041 =[4-4' 4-! = 8x = 0 {A+64[54 44558 27 f*; fo-eJ : [$-01 7084 =7 { xylexae 8 k Xy4 + Exam show jouv okk Nine'H(HEE KEi50") Vevi T.9Stocr&Fk...

Question

88-041 =[4-4' 4-! = 8x = 0 {A+64[54 44558 27 f*; fo-eJ : [$-01 7084 =7 { xylexae 8 k Xy4 + Exam show jouv okk Nine'H(HEE KEi50") Vevi T.9Stocr&Fkeov =4= ($ 4GV<016 ;Otr

88-041 =[4-4' 4-! = 8x = 0 {A+64[54 44558 27 f*; fo-eJ : [$-01 7084 =7 { xylexae 8 k Xy4 + Exam show jouv okk Nine'H(HEE KE i 50") Vevi T.9 Stocr& Fkeov = 4= ($ 4 GV< 016 ; Otr



Answers

Divide. $$\frac{28 k^{4}+8 k^{3}-40 k^{2}}{4 k^{2}}$$

This question asked us to divide. So our first step is going to be the split this up into three separate fractions. So we'll have 28 key to the forced over four K squared plus eight k cubed over four K squared minus 40 k squared over four k squared. And we just have to remember that when we divide variables that have exponents we need to use attract their exponents. So with this first term will start by dividing our Constance. So the 28 divided by four will give us seven. And for our exponents, we have four minus two, which gives us two. So that tells us the exponents on r K will be to for this middle time eight divided by four will give us to. And for the exponents we have three minus two, which gives us one so two K and minus. For this last term, we have a minus 40 divided by four so minus 10. And for the exponents, we have two minus two, which gives us zero. And that tells us our Kate terms cancel. So this here would be our final answer

Okay, so we're dividing this a little bit. I just want to break it up. So 28 k to the seventh, divided by four K squared plus eight K to the fifth, divided by four K squared minus 44 K to the fourth, divided by four K squared minus 36 K 2. The second divided by four K two the second. Alright, so now we're looking at is basically, like four different division problem. So looking at the 1st 1 28 divided by 47 K to the seven divided by K square. You just gotta subtract Those exponents of seven minus two is going to give you me five plus eight divided by four is two k to the fifth, divided by K squared is going to give me K to the third minus 44 Divided by four is going to give me 11 K to the fourth divided by K squared four months to his tooth is going to give me cage at second minus 36. Divided by four is nine k squared, divided by K. Squared is just one. So I'm just gonna leave it as is

We need to divide the following fractions. So we're going to first divide or force factor. So this becomes five K plus two divided by I mean times K plus one divided by okay, plus four times K plus one divided by. So we're gonna change the division to multiplication. So our second fraction we flip so Kay Square plus 10-K plus 24 goes to the top of the fraction. And that factors out to K plus four times K plus six. Five squared plus 17 K plus six goes to the bottom of the fraction that factors ought to be five K plus two times K plus three. So we cancel out the fractions and we can five K plus two cancels out K plus four cancels out K plus one cancels out. So we're left for our final answer of K Plus six divided by K plus three

So it says that the square of four X minus two is equal to six. So in order to isolate my ass, I'm gonna add to to both sides to get root for X is equal to eight. And then I'm gonna square both sides to get that four X is equal to 64. I'm here. I'm gonna divide both sense by four to get that X is equal. Teoh 64 divided by four against me. 16 I believe. Yep. 16. So then X has to be 16? Um, yes, this would be our final answer.


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