Evaluate
\frac{4\left(x\left(x-5\right)\right)^{2}}{\left(x-7\right)\left(x+5\right)\left(1-25x^{2}\right)}
Expand
\frac{4\left(x^{4}-10x^{3}+25x^{2}\right)}{\left(1-25x^{2}\right)\left(x^{2}-2x-35\right)}
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\frac{\left(x^{2}-10x+25\right)\times 4}{\left(x^{2}-2x-35\right)\left(x^{-2}-25\right)}
Divide \frac{x^{2}-10x+25}{x^{2}-2x-35} by \frac{x^{-2}-25}{4} by multiplying \frac{x^{2}-10x+25}{x^{2}-2x-35} by the reciprocal of \frac{x^{-2}-25}{4}.
\frac{4x^{2}-40x+100}{\left(x^{2}-2x-35\right)\left(x^{-2}-25\right)}
Use the distributive property to multiply x^{2}-10x+25 by 4.
\frac{4x^{2}-40x+100}{x^{2}x^{-2}-25x^{2}-2xx^{-2}+50x-35x^{-2}+875}
Use the distributive property to multiply x^{2}-2x-35 by x^{-2}-25.
\frac{4x^{2}-40x+100}{1-25x^{2}-2xx^{-2}+50x-35x^{-2}+875}
Multiply x^{2} and x^{-2} to get 1.
\frac{4x^{2}-40x+100}{1-25x^{2}-2x^{-1}+50x-35x^{-2}+875}
To multiply powers of the same base, add their exponents. Add 1 and -2 to get -1.
\frac{4x^{2}-40x+100}{876-25x^{2}-2x^{-1}+50x-35x^{-2}}
Add 1 and 875 to get 876.
\frac{\left(x^{2}-10x+25\right)\times 4}{\left(x^{2}-2x-35\right)\left(x^{-2}-25\right)}
Divide \frac{x^{2}-10x+25}{x^{2}-2x-35} by \frac{x^{-2}-25}{4} by multiplying \frac{x^{2}-10x+25}{x^{2}-2x-35} by the reciprocal of \frac{x^{-2}-25}{4}.
\frac{4x^{2}-40x+100}{\left(x^{2}-2x-35\right)\left(x^{-2}-25\right)}
Use the distributive property to multiply x^{2}-10x+25 by 4.
\frac{4x^{2}-40x+100}{x^{2}x^{-2}-25x^{2}-2xx^{-2}+50x-35x^{-2}+875}
Use the distributive property to multiply x^{2}-2x-35 by x^{-2}-25.
\frac{4x^{2}-40x+100}{1-25x^{2}-2xx^{-2}+50x-35x^{-2}+875}
Multiply x^{2} and x^{-2} to get 1.
\frac{4x^{2}-40x+100}{1-25x^{2}-2x^{-1}+50x-35x^{-2}+875}
To multiply powers of the same base, add their exponents. Add 1 and -2 to get -1.
\frac{4x^{2}-40x+100}{876-25x^{2}-2x^{-1}+50x-35x^{-2}}
Add 1 and 875 to get 876.
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}