Evaluate
\frac{6x^{3}+4x^{2}+am+12a+9}{2a+1}
Expand
\frac{6x^{3}+4x^{2}+am+12a+9}{2a+1}
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\frac{6x^{3}+4x^{2}+ma+3}{2a+1}+\frac{6\left(2a+1\right)}{2a+1}
To add or subtract expressions, expand them to make their denominators the same. Multiply 6 times \frac{2a+1}{2a+1}.
\frac{6x^{3}+4x^{2}+ma+3+6\left(2a+1\right)}{2a+1}
Since \frac{6x^{3}+4x^{2}+ma+3}{2a+1} and \frac{6\left(2a+1\right)}{2a+1} have the same denominator, add them by adding their numerators.
\frac{6x^{3}+4x^{2}+ma+3+12a+6}{2a+1}
Do the multiplications in 6x^{3}+4x^{2}+ma+3+6\left(2a+1\right).
\frac{ma+6x^{3}+4x^{2}+9+12a}{2a+1}
Combine like terms in 6x^{3}+4x^{2}+ma+3+12a+6.
\frac{6x^{3}+4x^{2}+ma+3}{2a+1}+\frac{6\left(2a+1\right)}{2a+1}
To add or subtract expressions, expand them to make their denominators the same. Multiply 6 times \frac{2a+1}{2a+1}.
\frac{6x^{3}+4x^{2}+ma+3+6\left(2a+1\right)}{2a+1}
Since \frac{6x^{3}+4x^{2}+ma+3}{2a+1} and \frac{6\left(2a+1\right)}{2a+1} have the same denominator, add them by adding their numerators.
\frac{6x^{3}+4x^{2}+ma+3+12a+6}{2a+1}
Do the multiplications in 6x^{3}+4x^{2}+ma+3+6\left(2a+1\right).
\frac{ma+6x^{3}+4x^{2}+9+12a}{2a+1}
Combine like terms in 6x^{3}+4x^{2}+ma+3+12a+6.
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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