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27x^{2}+15
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27x^{2}+15
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\frac{\frac{3\left(9x^{2}+5\right)}{x}}{\frac{1}{x}}
Express 3\times \frac{9x^{2}+5}{x} as a single fraction.
\frac{3\left(9x^{2}+5\right)x}{x}
Divide \frac{3\left(9x^{2}+5\right)}{x} by \frac{1}{x} by multiplying \frac{3\left(9x^{2}+5\right)}{x} by the reciprocal of \frac{1}{x}.
3\left(9x^{2}+5\right)
Cancel out x in both numerator and denominator.
27x^{2}+15
Use the distributive property to multiply 3 by 9x^{2}+5.
\frac{\frac{3\left(9x^{2}+5\right)}{x}}{\frac{1}{x}}
Express 3\times \frac{9x^{2}+5}{x} as a single fraction.
\frac{3\left(9x^{2}+5\right)x}{x}
Divide \frac{3\left(9x^{2}+5\right)}{x} by \frac{1}{x} by multiplying \frac{3\left(9x^{2}+5\right)}{x} by the reciprocal of \frac{1}{x}.
3\left(9x^{2}+5\right)
Cancel out x in both numerator and denominator.
27x^{2}+15
Use the distributive property to multiply 3 by 9x^{2}+5.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
Arithmetic
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Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}