Evaluate
\frac{12x^{3}+27x^{2}+6x+7}{x+2}
Differentiate w.r.t. x
\frac{24x^{3}+99x^{2}+108x+5}{\left(x+2\right)^{2}}
Graph
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\frac{\left(12x^{2}+3x\right)\left(x+2\right)}{x+2}+\frac{7}{x+2}
To add or subtract expressions, expand them to make their denominators the same. Multiply 12x^{2}+3x times \frac{x+2}{x+2}.
\frac{\left(12x^{2}+3x\right)\left(x+2\right)+7}{x+2}
Since \frac{\left(12x^{2}+3x\right)\left(x+2\right)}{x+2} and \frac{7}{x+2} have the same denominator, add them by adding their numerators.
\frac{12x^{3}+24x^{2}+3x^{2}+6x+7}{x+2}
Do the multiplications in \left(12x^{2}+3x\right)\left(x+2\right)+7.
\frac{12x^{3}+27x^{2}+6x+7}{x+2}
Combine like terms in 12x^{3}+24x^{2}+3x^{2}+6x+7.
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