Pair up the terms into separate groups. Then factor each group individually (pull out the GCF). Once that is finished, you factor out the overall GCF to complete the full factorization.
8r^3 - 64r^2 + r - 8
(8r^3 - 64r^2) + (r - 8)
8r^2(r - 8) + (r - 8)
8r^2(r - 8) + 1(r - 8)
(8r^2 + 1)(r - 8)
So the final answer is (8r^2 + 1)(r - 8)
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Edit:
Problem 1b) Follow the same basic steps as in part A
28v^3 + 16v^2 - 21v - 12
(28v^3 + 16v^2) + (-21v - 12)
4v^2(7v + 4) + (-21v - 12)
4v^2(7v + 4) - 3(7v + 4)
(4v^2 - 3)(7v + 4)
The answer to part B is (4v^2 - 3)(7v + 4)
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Second Edit:
I apologize for the first edit. I misread what you were asking initially. Here is problem 2A. We follow the same basic steps as in 1a) and 1b). You'll need to rearrange terms first
27mz - 12nc + 9mc - 36nz
27mz + 9mc - 12nc - 36nz
(27mz + 9mc) + (-12nc - 36nz)
9m(3z + c) + (-12nc - 36nz)
9m(3z + c) -12n(c + 3z)
9m(3z + c) -12n(3z + c)
(9m - 12n)(3z + c)
3(3m - 4n)(3z + c)
Answer:
Complements of the same angle are congruent.
Step-by-step explanation:
Given:1 basket = 4 soaps + 2 lotions127 total soaps85 total bottles of lotion First divide the total amount of soap by however many is needed to make single basket. 127/4 = 31.75 ≈ 31 sets Then divide the total amount of lotion by however many is needed to make single basket 85/2 = 42.5 ≈ 42 sets You will need to pick the whichever number is lower/ This will ensure that you have all the supplies you need to make a complete basket. Therefore, you can make 31 complete baskets.
Ok, so lets convert all the percents into decimals to help us solve this problem
A 3.0%= 0.03
B 3.5%= 0.035
C 4.0%= 0.04
D 4.5%= 0.045
Now, we can multiply $200 by all the decimals we just converted to see which one will add up to $208
200*0.03= 6-------200+6=206 (this is not equal to 208 so it's not A)
200*0.035=7--------200+7= 207 (Still does not equal 208, so it's not B)
200*0.04= 8---------200+8=208 C is your answer
Answer:
(4/4)*(4/4) = 1.
Step-by-step explanation:
(4/4)*(4/4) = 1.
