What is ((4m^2-8m-5))/((2m-5)) ?

The solution to ((4m^2-8m-5))/((2m-5)) is 2m+1

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simplify ((4m^2-8m-5))/((2m-5))

simplify

\frac{( 4 m ^{2} - 8 m - 5 )}{( 2 m - 5 )}

2 m + 1

Solution steps

\frac{4 m ^{2} - 8 m - 5}{2 m - 5}

Factor

4 m^{2} - 8 m - 5 : (2 m + 1) (2 m - 5)

= \frac{( 2 m + 1 ) ( 2 m - 5 )}{2 m - 5}

Cancel the common factor:

2 m - 5

= 2 m + 1

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