Evaluate
\frac{16x^{2}-25}{9x^{2}-3x-10}
Expand
\frac{16x^{2}-25}{9x^{2}-3x-10}
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\frac{y\left(4x-5\right)\left(4x+5\right)}{9y\left(x-\left(-\frac{1}{6}\sqrt{41}+\frac{1}{6}\right)\right)\left(x-\left(\frac{1}{6}\sqrt{41}+\frac{1}{6}\right)\right)}
Factor the expressions that are not already factored.
\frac{\left(4x-5\right)\left(4x+5\right)}{9\left(x-\left(-\frac{1}{6}\sqrt{41}+\frac{1}{6}\right)\right)\left(x-\left(\frac{1}{6}\sqrt{41}+\frac{1}{6}\right)\right)}
Cancel out y in both numerator and denominator.
\frac{16x^{2}-25}{9x^{2}-3x-10}
Expand the expression.
\frac{y\left(4x-5\right)\left(4x+5\right)}{9y\left(x-\left(-\frac{1}{6}\sqrt{41}+\frac{1}{6}\right)\right)\left(x-\left(\frac{1}{6}\sqrt{41}+\frac{1}{6}\right)\right)}
Factor the expressions that are not already factored.
\frac{\left(4x-5\right)\left(4x+5\right)}{9\left(x-\left(-\frac{1}{6}\sqrt{41}+\frac{1}{6}\right)\right)\left(x-\left(\frac{1}{6}\sqrt{41}+\frac{1}{6}\right)\right)}
Cancel out y in both numerator and denominator.
\frac{16x^{2}-25}{9x^{2}-3x-10}
Expand the expression.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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