Evaluate
-\frac{\left(105-4m\right)\left(8m+25\right)}{4m+25}
Expand
-\frac{2625+740m-32m^{2}}{4m+25}
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\left(-105-\left(-4m\right)\right)\times \frac{8m+25}{4m+25}
To find the opposite of 105-4m, find the opposite of each term.
\left(-105+4m\right)\times \frac{8m+25}{4m+25}
The opposite of -4m is 4m.
\frac{\left(-105+4m\right)\left(8m+25\right)}{4m+25}
Express \left(-105+4m\right)\times \frac{8m+25}{4m+25} as a single fraction.
\frac{-840m-2625+32m^{2}+100m}{4m+25}
Apply the distributive property by multiplying each term of -105+4m by each term of 8m+25.
\frac{-740m-2625+32m^{2}}{4m+25}
Combine -840m and 100m to get -740m.
\left(-105-\left(-4m\right)\right)\times \frac{8m+25}{4m+25}
To find the opposite of 105-4m, find the opposite of each term.
\left(-105+4m\right)\times \frac{8m+25}{4m+25}
The opposite of -4m is 4m.
\frac{\left(-105+4m\right)\left(8m+25\right)}{4m+25}
Express \left(-105+4m\right)\times \frac{8m+25}{4m+25} as a single fraction.
\frac{-840m-2625+32m^{2}+100m}{4m+25}
Apply the distributive property by multiplying each term of -105+4m by each term of 8m+25.
\frac{-740m-2625+32m^{2}}{4m+25}
Combine -840m and 100m to get -740m.
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