SOLUTION: simplify using long division show all work pls (8b^2-6)÷(2b-1)

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Question 996283: simplify using long division show all work pls
(8b^2-6)÷(2b-1)
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
The dividend already has a separate distributed factor of 2.

        _________________________
2b-1    |    4b^2     0*b    -3
        |


             2b
        _________________________
2b-1    |    4b^2     0*b    -3
        |    4b^2    -2b
        _________________
             0        2b


             2b        1
        _________________________
2b-1    |    4b^2     0*b    -3
        |    4b^2    -2b
        _________________
             0        2b.... -3
                      2b    -3
                      -----------
                      0       0

Quotient found,  2b%2B1.

Your original factored expression is highlight_green%282%282b-1%29%282b%2B1%29%2F%282b-1%29%29.

Simplify or reduce, find 2%282b%2B1%29=highlight%284b%2B2%29.