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8545548
23.05.2021 •
Mathematics
Match the steps to factor a polynomial with four terms by grouping. Use grouping to factor 20a4 - 10a3 + 12a2 - 6a.
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Ответ:
Step-by-step explanation:
The first two factor as
10a^3 ( 2a - 1)
The second two factor as
6a (2a - 1)
When you put them together, the common factor is 2a - 1
(10a^3 - 6a) (2a - 1) Can you factor any further? Yes. Try taking out 2a out of the first factor
2a(5a^2 - 3) Now what you have is
2a(5a^2 - 3)(2a - 1) Don't go any further.
Ответ:
2a(2a - 1)(5a^2 + 3)
Step-by-step explanation:
You can start by grouping the terms into two groups:
20a^4 - 10a^3 and 12a^2 - 6a
Next, you can factor them:
(20a^4 - 10a^3) + (12a^2 - 6a)
10a^3(2a - 1) + 6a(2a -1)
Now, you can factor out the expression 2a - 1 to get:
(2a - 1)(10a^3 + 6a)
In the second factor, the two terms have a GCF of 2a, so you can factor that out:
2a(2a - 1)(5a^2 + 3)
Ответ:
4(y+2)
6y+1-2y+7
Hope it helps