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\frac{\left(2x-3\right)\left(4x+5\right)}{2x-3}-100^{2}\left(2x+2\right)
Factor the expressions that are not already factored in \frac{8x^{2}-2x-15}{2x-3}.
4x+5-100^{2}\left(2x+2\right)
Cancel out 2x-3 in both numerator and denominator.
4x+5-10000\left(2x+2\right)
Calculate 100 to the power of 2 and get 10000.
4x+5-20000x-20000
Use the distributive property to multiply -10000 by 2x+2.
-19996x+5-20000
Combine 4x and -20000x to get -19996x.
-19996x-19995
Subtract 20000 from 5 to get -19995.
\frac{\left(2x-3\right)\left(4x+5\right)}{2x-3}-100^{2}\left(2x+2\right)
Factor the expressions that are not already factored in \frac{8x^{2}-2x-15}{2x-3}.
4x+5-100^{2}\left(2x+2\right)
Cancel out 2x-3 in both numerator and denominator.
4x+5-10000\left(2x+2\right)
Calculate 100 to the power of 2 and get 10000.
4x+5-20000x-20000
Use the distributive property to multiply -10000 by 2x+2.
-19996x+5-20000
Combine 4x and -20000x to get -19996x.
-19996x-19995
Subtract 20000 from 5 to get -19995.