Evaluate
\frac{x\left(6x+5\right)}{5x^{2}-1}
Expand
\frac{6x^{2}+5x}{5x^{2}-1}
Graph
Quiz
Polynomial
5 problems similar to:
\frac { 6 + \frac { 5 } { x } } { 5 - \frac { 1 } { x ^ { 2 } } }
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\frac{\frac{6x}{x}+\frac{5}{x}}{5-\frac{1}{x^{2}}}
To add or subtract expressions, expand them to make their denominators the same. Multiply 6 times \frac{x}{x}.
\frac{\frac{6x+5}{x}}{5-\frac{1}{x^{2}}}
Since \frac{6x}{x} and \frac{5}{x} have the same denominator, add them by adding their numerators.
\frac{\frac{6x+5}{x}}{\frac{5x^{2}}{x^{2}}-\frac{1}{x^{2}}}
To add or subtract expressions, expand them to make their denominators the same. Multiply 5 times \frac{x^{2}}{x^{2}}.
\frac{\frac{6x+5}{x}}{\frac{5x^{2}-1}{x^{2}}}
Since \frac{5x^{2}}{x^{2}} and \frac{1}{x^{2}} have the same denominator, subtract them by subtracting their numerators.
\frac{\left(6x+5\right)x^{2}}{x\left(5x^{2}-1\right)}
Divide \frac{6x+5}{x} by \frac{5x^{2}-1}{x^{2}} by multiplying \frac{6x+5}{x} by the reciprocal of \frac{5x^{2}-1}{x^{2}}.
\frac{x\left(6x+5\right)}{5x^{2}-1}
Cancel out x in both numerator and denominator.
\frac{6x^{2}+5x}{5x^{2}-1}
Use the distributive property to multiply x by 6x+5.
\frac{\frac{6x}{x}+\frac{5}{x}}{5-\frac{1}{x^{2}}}
To add or subtract expressions, expand them to make their denominators the same. Multiply 6 times \frac{x}{x}.
\frac{\frac{6x+5}{x}}{5-\frac{1}{x^{2}}}
Since \frac{6x}{x} and \frac{5}{x} have the same denominator, add them by adding their numerators.
\frac{\frac{6x+5}{x}}{\frac{5x^{2}}{x^{2}}-\frac{1}{x^{2}}}
To add or subtract expressions, expand them to make their denominators the same. Multiply 5 times \frac{x^{2}}{x^{2}}.
\frac{\frac{6x+5}{x}}{\frac{5x^{2}-1}{x^{2}}}
Since \frac{5x^{2}}{x^{2}} and \frac{1}{x^{2}} have the same denominator, subtract them by subtracting their numerators.
\frac{\left(6x+5\right)x^{2}}{x\left(5x^{2}-1\right)}
Divide \frac{6x+5}{x} by \frac{5x^{2}-1}{x^{2}} by multiplying \frac{6x+5}{x} by the reciprocal of \frac{5x^{2}-1}{x^{2}}.
\frac{x\left(6x+5\right)}{5x^{2}-1}
Cancel out x in both numerator and denominator.
\frac{6x^{2}+5x}{5x^{2}-1}
Use the distributive property to multiply x by 6x+5.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
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}