5

-2r(1 + i,P) 12.56637 (C) (1 +)6...

Question

-2r(1 + i,P) 12.56637 (C) (1 +)6

-2r(1 + i,P) 12.56637 (C) (1 +)6



Answers

Multiply.
$$(c+3)(c+4)(c-1)$$

In this problem. We have C plus four times 60 squared, minus 13 C plus seven and we have a binomial times a polynomial, and we're gonna use the distributive property to solve. So we're gonna You were gonna multiply each part of the binomial by each part of the polynomial and written out. That's gonna be C Times 60 squared, minus 13 C plus seven plus four times six c squared, minus 13 C plus seven. And so we do the distributive property for both it'll and that's going to give us see Times 60 Squared, which is six c cubed minus C times 13 c, which is 13 c squared plus C times seven, which is seven C plus four times 60 squared, which is 24 c squared minus four times 13 c, which is 50 to see, plus four times seven, which is 28. And now we can simplify this equation by combining like terms so we only have one c cube. So that's still going to be six c cute and we have ah, minus 13 seats squared and a plus 24 c squared. So that's gonna leave us with ah plus 11 c squared and we have ah, plus seven C and A minus 50 to see. And that's gonna leave us with minus 45 C and plus 28. And so our final answer is 60 Cube plus 11 C squared, minus 45 C plus 28 yeah.

Today we are adding fractions that have, unlike denominators in this case we are going to be adding for c. d. plus three C plus one, D Squared -9. Now we are dealing with complex by no meals here so we want to factor in order to get our leaves common denominator. So factoring C. D. Three C. We're just gonna take a C. Out and be left with the plus three. Factoring D squared minus nine is a difference of two squares. So we're gonna be left with a D minus three and B plus three. No when coming up with the least common denominator, we want to take everything that we see and right at once. So our lease common denominator okay will be equal to see D. Plus three & D. M -3. Perfect. Okay Now we need to rewrite these fractions as their equivalent forms over the least common denominator in the case of four c. d. three c. It is missing AD -3. So just to write that out for you right now we have for Oversee D-plus three and we need it to also include the D -3. So we'll multiply top and bottom by D -3. On this side we have a one over D plus three mhm D -3 but we're missing the sea so will multiply by sea oversee Simplifying that out. Will distribute the four here. So we're left with four D minus 12 over at least common denominator mm. Mhm. What simplifying this we are left with simply see overall these common denominator. Yeah. Yeah. And now that they are both over the at least common denominator, we can add the new ratings which gives us a 40 minus 12 plus C over at least common denominator of C. D plus three D minus three. And that fraction this final hole fraction will be your answer for this problem.

2/3 C square, plus wanted third C square plus 2/3 Cease where? All right. So I have common denominators. My variables all c squared so I can add them cause they're, like turn. So now I had two plus one plus two, which gives me far C squared.

So from here, 32 4 can simplify it to eight and then the sea to that level and see to the fifth. I would simplify this by subtracting the 11 and the five because that's what we do when we have the same base. And we just have to, um, divide them. And so 11 minus five is six. So we would have eight a C to the sixth power for the first Fraction 42 6 Simple 5 to 7. And again, we just have to subtract the 903. So nine minus three is six, so we would have six C to the sixth power. And that logic works out because it's kind of like this. We have this money seize on the top and this money seize on the bottom. We're canceling out the ones that are the same. We're left with six seas. So at this point, you could notice that the exponents are the same, so we can add them by Just combine the coefficient


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