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blondie02
28.07.2019 •
Mathematics
Factor completely, then place the factors in the proper location on the grid. 2a2 + 2b2 - 5ab
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Ответ:
Rewriting the expression we have:
From here, we factor the expression completely.
We have then:
Let's check the factorization.
To do this, we multiply the terms within the parenthesis.
We have then:
Rewriting:
Therefore, the factorization is correct.
Ответ:
Explanation:
To factor this, we can first write it as 2a²-5ab+2b².
We want factors of 2a²(2b²)=4a²b² that sum to -5ab. -4ab(-1ab) = 4a²b², and -4ab+-1ab = -5ab, so that is what we will use. This is how we will "split up" the middle term:
2a²-4ab-1ab+2b².
We group together the first two terms and the last two terms:
(2a²-4ab)+(-1ab+2b²).
Factor out the GCF of each group. The GCF of the first group is 2a: 2a(a-2b). The GCF of the second group is -1b: -1b(a-2b).
These two now have another common factor, (a-2b). We factor this out and get our answer, (a-2b)(2a-b).
Ответ:
A
Step-by-step explanation: i just took the test and made a 100