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mariarad [96]
3 years ago
5

Simplify the expression below.

Mathematics
1 answer:
marta [7]3 years ago
8 0
The first we are going to do to simplify the expression \frac{6m^{3}-16m^{2}+15m-40}{2m^2+5} is factoring the numerator by grouping similar terms as follows:
\frac{6m^{3}-16m^{2}+15m-40}{2m^2+5}
\frac{(6m^{3}-16m^{2})+(15m-40)}{2m^2+5}
\frac{2m^2(3m-8)+5(3m-8)}{2m^2+5}
\frac{(3m-8)(2m^2+5)}{2m^2+5}

Now we can cancel the common factor, 2m^2+5 in both numerator and denominator:
\frac{(3m-8)(2m^2+5)}{2m^2+5}
3m-8

We can conclude that \frac{6m^{3}-16m^{2}+15m-40}{2m^2+5} =3m-8


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