Evaluate
\frac{36}{\left(x-7\right)\left(x-3\right)}
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\frac{36}{\left(x-7\right)\left(x-3\right)}
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\frac{18\times 2\left(2x-3\right)}{\left(x-3\right)\left(2x-3\right)\left(x-7\right)}
Divide \frac{18}{\left(x-3\right)\left(2x-3\right)} by \frac{x-7}{2\left(2x-3\right)} by multiplying \frac{18}{\left(x-3\right)\left(2x-3\right)} by the reciprocal of \frac{x-7}{2\left(2x-3\right)}.
\frac{2\times 18}{\left(x-7\right)\left(x-3\right)}
Cancel out 2x-3 in both numerator and denominator.
\frac{36}{\left(x-7\right)\left(x-3\right)}
Multiply 2 and 18 to get 36.
\frac{36}{x^{2}-3x-7x+21}
Apply the distributive property by multiplying each term of x-7 by each term of x-3.
\frac{36}{x^{2}-10x+21}
Combine -3x and -7x to get -10x.
\frac{18\times 2\left(2x-3\right)}{\left(x-3\right)\left(2x-3\right)\left(x-7\right)}
Divide \frac{18}{\left(x-3\right)\left(2x-3\right)} by \frac{x-7}{2\left(2x-3\right)} by multiplying \frac{18}{\left(x-3\right)\left(2x-3\right)} by the reciprocal of \frac{x-7}{2\left(2x-3\right)}.
\frac{2\times 18}{\left(x-7\right)\left(x-3\right)}
Cancel out 2x-3 in both numerator and denominator.
\frac{36}{\left(x-7\right)\left(x-3\right)}
Multiply 2 and 18 to get 36.
\frac{36}{x^{2}-3x-7x+21}
Apply the distributive property by multiplying each term of x-7 by each term of x-3.
\frac{36}{x^{2}-10x+21}
Combine -3x and -7x to get -10x.
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Matrix
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Simultaneous equation
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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}