Evaluate
\frac{x-1}{x-7}
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\frac{x-1}{x-7}
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Quiz
Polynomial
5 problems similar to:
\frac { x } { x - 7 } - \frac { x + 3 } { x ^ { 2 } - 4 x - 21 }
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\frac{x}{x-7}-\frac{x+3}{\left(x-7\right)\left(x+3\right)}
Factor the expressions that are not already factored in \frac{x+3}{x^{2}-4x-21}.
\frac{x}{x-7}-\frac{1}{x-7}
Cancel out x+3 in both numerator and denominator.
\frac{x-1}{x-7}
Since \frac{x}{x-7} and \frac{1}{x-7} have the same denominator, subtract them by subtracting their numerators.
\frac{x}{x-7}-\frac{x+3}{\left(x-7\right)\left(x+3\right)}
Factor the expressions that are not already factored in \frac{x+3}{x^{2}-4x-21}.
\frac{x}{x-7}-\frac{1}{x-7}
Cancel out x+3 in both numerator and denominator.
\frac{x-1}{x-7}
Since \frac{x}{x-7} and \frac{1}{x-7} have the same denominator, subtract them by subtracting their numerators.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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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}