Evaluate
\frac{8x+7}{\left(x-8\right)\left(x-1\right)\left(x+2\right)}
Differentiate w.r.t. x
\frac{198+98x+35x^{2}-16x^{3}}{\left(\left(x-8\right)\left(x-1\right)\left(x+2\right)\right)^{2}}
Graph
Quiz
Polynomial
5 problems similar to:
\frac{ 5 }{ { x }^{ 2 } -9x+8 } + \frac{ 3 }{ { x }^{ 2 } -6x-16 }
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\frac{5}{\left(x-8\right)\left(x-1\right)}+\frac{3}{\left(x-8\right)\left(x+2\right)}
Factor x^{2}-9x+8. Factor x^{2}-6x-16.
\frac{5\left(x+2\right)}{\left(x-8\right)\left(x-1\right)\left(x+2\right)}+\frac{3\left(x-1\right)}{\left(x-8\right)\left(x-1\right)\left(x+2\right)}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of \left(x-8\right)\left(x-1\right) and \left(x-8\right)\left(x+2\right) is \left(x-8\right)\left(x-1\right)\left(x+2\right). Multiply \frac{5}{\left(x-8\right)\left(x-1\right)} times \frac{x+2}{x+2}. Multiply \frac{3}{\left(x-8\right)\left(x+2\right)} times \frac{x-1}{x-1}.
\frac{5\left(x+2\right)+3\left(x-1\right)}{\left(x-8\right)\left(x-1\right)\left(x+2\right)}
Since \frac{5\left(x+2\right)}{\left(x-8\right)\left(x-1\right)\left(x+2\right)} and \frac{3\left(x-1\right)}{\left(x-8\right)\left(x-1\right)\left(x+2\right)} have the same denominator, add them by adding their numerators.
\frac{5x+10+3x-3}{\left(x-8\right)\left(x-1\right)\left(x+2\right)}
Do the multiplications in 5\left(x+2\right)+3\left(x-1\right).
\frac{8x+7}{\left(x-8\right)\left(x-1\right)\left(x+2\right)}
Combine like terms in 5x+10+3x-3.
\frac{8x+7}{x^{3}-7x^{2}-10x+16}
Expand \left(x-8\right)\left(x-1\right)\left(x+2\right).
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{ x } ^ { 2 } - 4 x - 5 = 0
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\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}