Evaluate
\frac{1}{\left(x+5\right)^{2}}
Expand
\frac{1}{\left(x+5\right)^{2}}
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\frac{\left(x+3\right)\left(x-5\right)}{\left(x^{2}+8x+15\right)\left(x^{2}-25\right)}
Divide \frac{x+3}{x^{2}+8x+15} by \frac{x^{2}-25}{x-5} by multiplying \frac{x+3}{x^{2}+8x+15} by the reciprocal of \frac{x^{2}-25}{x-5}.
\frac{\left(x-5\right)\left(x+3\right)}{\left(x-5\right)\left(x+3\right)\left(x+5\right)^{2}}
Factor the expressions that are not already factored.
\frac{1}{\left(x+5\right)^{2}}
Cancel out \left(x-5\right)\left(x+3\right) in both numerator and denominator.
\frac{1}{x^{2}+10x+25}
Expand the expression.
\frac{\left(x+3\right)\left(x-5\right)}{\left(x^{2}+8x+15\right)\left(x^{2}-25\right)}
Divide \frac{x+3}{x^{2}+8x+15} by \frac{x^{2}-25}{x-5} by multiplying \frac{x+3}{x^{2}+8x+15} by the reciprocal of \frac{x^{2}-25}{x-5}.
\frac{\left(x-5\right)\left(x+3\right)}{\left(x-5\right)\left(x+3\right)\left(x+5\right)^{2}}
Factor the expressions that are not already factored.
\frac{1}{\left(x+5\right)^{2}}
Cancel out \left(x-5\right)\left(x+3\right) in both numerator and denominator.
\frac{1}{x^{2}+10x+25}
Expand the expression.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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