Evaluate
\frac{3\left(x+9\right)}{2}
Expand
\frac{3x+27}{2}
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\frac{\left(6x^{2}+9\right)\left(x^{2}-81\right)}{\left(x-9\right)\left(4x^{2}+6\right)}
Divide \frac{6x^{2}+9}{x-9} by \frac{4x^{2}+6}{x^{2}-81} by multiplying \frac{6x^{2}+9}{x-9} by the reciprocal of \frac{4x^{2}+6}{x^{2}-81}.
\frac{3\left(x-9\right)\left(x+9\right)\left(2x^{2}+3\right)}{2\left(x-9\right)\left(2x^{2}+3\right)}
Factor the expressions that are not already factored.
\frac{3\left(x+9\right)}{2}
Cancel out \left(x-9\right)\left(2x^{2}+3\right) in both numerator and denominator.
\frac{3x+27}{2}
Expand the expression.
\frac{\left(6x^{2}+9\right)\left(x^{2}-81\right)}{\left(x-9\right)\left(4x^{2}+6\right)}
Divide \frac{6x^{2}+9}{x-9} by \frac{4x^{2}+6}{x^{2}-81} by multiplying \frac{6x^{2}+9}{x-9} by the reciprocal of \frac{4x^{2}+6}{x^{2}-81}.
\frac{3\left(x-9\right)\left(x+9\right)\left(2x^{2}+3\right)}{2\left(x-9\right)\left(2x^{2}+3\right)}
Factor the expressions that are not already factored.
\frac{3\left(x+9\right)}{2}
Cancel out \left(x-9\right)\left(2x^{2}+3\right) in both numerator and denominator.
\frac{3x+27}{2}
Expand the expression.
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Simultaneous equation
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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