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Salsk061 [2.6K]
3 years ago
14

How to factor it completely

Mathematics
1 answer:
Elden [556K]3 years ago
3 0
To factor it completely you first look at the first term, if the a term is 1 then your good if it is not you need to divide it by whatever number to make the a term 1, in the first question the a term is just x^2 so it's good. Then,you focus on the b and c term, you have to find multiples of term C that adds up to term b. Going back to problem 1, c is 16 and b is 10. So the two factors would be 8 and 2,because 8×2=16 and 8+2=10. the final step is to put into the proper format,
(x+2) (x+3), which would be considered completely factored.
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What is the justification for the first step in proving the formula for factoring the sum of cubes?
Anna11 [10]

Explanation:

The formula isnt correctly written, it should state:

a^3+b^3 = (a+b)(a^2-ab+b^2)

You have to start from (a+b)(a^2-ab+b^2)  and end in a³+b³. On your first step, you need to use the distributive property.

(a+b)(a^2-ab+b^2) = a*(a^2-ab+b^2) + b*(a^2-ab+b^2)

This is equal to

a*a^2-a*(ab) + a*b^2 + b*a^2-b*(ab) + b*b^2 = a^3 - a^2b + ab^2 +ba^2 -b^2a +b^3

Note that the second term, -a²b, is cancelled by the fourth term, ba², and the third term, ab², is cancelled by the fifht term, -b²a. Therefore, the final result is a³+b³, as we wanted to.

5 0
4 years ago
What is the equation of this line in standard form
Anestetic [448]

Answer:

6x-11y=-13

Step-by-step explanation:

(x1,y1)=(3/2,2) and (x2,y2)=(-4,-1)

y-y1= y2-y1/x2-x1 (x-x1)

y-2=-3/-11/2(x-3/2)

=6/11(x-3/2)

11(y-2)=6x-9

11y-22=6x-9

6x-11y=9-22

6x-11y=-13

7 0
3 years ago
In a cafeteria, 1/6 of the students are eating salads , and 2/3 are eating sandwiches. There are 12 students in the cafeteria. H
lions [1.4K]

Answer:

2 other people

Step-by-step explanation:

7 0
3 years ago
I give brainiest!!! Find the area of that sector. Show work.
Aleksandr [31]
That's a quarter of the circle. So find the area of the circle, and divide by 4 to get the answer.

Circle area = 3.14*13^2 = 530.66
Answer = circle area / 4 = 132.665
6 0
3 years ago
Read 2 more answers
In triangle ABC m <br> A.47<br> B.109<br> C.114<br> D.71
sashaice [31]

Answer:

71

Step-by-step explanation:

in a triangle all the angles together equal 180°. So all you have to do is add 43 + 66=109 and then subtract that from 180

4 0
3 years ago
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