SOLUTION: Factor completely 10a^2+ab-2b^2

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Question 86479: Factor completely
10a^2+ab-2b^2
Answer by chitra(359) About Me  (Show Source):
You can put this solution on YOUR website!
The given expression is:

%2810a%5E2+%2B+ab+-+2b%5E2%29 ==> To factor out completely

The product of the last term is 20a%5E2b%5E2 which cna be expressed as the
sum of the middle term and that is given by: +5ab and - 4ab

Thus, the above expression can be written as:

%2810a%5E2+%2B+5ab+-+4ab+-+2b%5E2%29

5a(2a + b) - 2b(2a + b)

Taking (2a + b) as a common factor, we get:

(2a + b)(5a - 2b)

Hence, the solution.

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