Evaluate
\frac{3x^{2}+3xz-4x-2z+3}{9x^{2}+3xz-9x-3z+4}
Expand
\frac{3x^{2}+3xz-4x-2z+3}{9x^{2}+3xz-9x-3z+4}
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\frac{z\left(3x^{2}-4x+3xz-2z+3\right)}{\left(9x^{2}-9x+3xz-3z+4\right)z}
Express \frac{\frac{z\left(3x^{2}-4x+3xz-2z+3\right)}{9x^{2}-9x+3xz-3z+4}}{z} as a single fraction.
\frac{3x^{2}+3xz-4x-2z+3}{9x^{2}+3xz-9x-3z+4}
Cancel out z in both numerator and denominator.
\frac{z\left(3x^{2}-4x+3xz-2z+3\right)}{\left(9x^{2}-9x+3xz-3z+4\right)z}
Express \frac{\frac{z\left(3x^{2}-4x+3xz-2z+3\right)}{9x^{2}-9x+3xz-3z+4}}{z} as a single fraction.
\frac{3x^{2}+3xz-4x-2z+3}{9x^{2}+3xz-9x-3z+4}
Cancel out z in both numerator and denominator.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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Matrix
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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
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Limits
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