Evaluate
\frac{mx+x+3m^{2}-12}{m^{2}-4}
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\frac{mx+x+3m^{2}-12}{m^{2}-4}
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\frac{\left(m+1\right)x}{m^{2}-4}+3
Express \frac{m+1}{m^{2}-4}x as a single fraction.
\frac{\left(m+1\right)x}{\left(m-2\right)\left(m+2\right)}+3
Factor m^{2}-4.
\frac{\left(m+1\right)x}{\left(m-2\right)\left(m+2\right)}+\frac{3\left(m-2\right)\left(m+2\right)}{\left(m-2\right)\left(m+2\right)}
To add or subtract expressions, expand them to make their denominators the same. Multiply 3 times \frac{\left(m-2\right)\left(m+2\right)}{\left(m-2\right)\left(m+2\right)}.
\frac{\left(m+1\right)x+3\left(m-2\right)\left(m+2\right)}{\left(m-2\right)\left(m+2\right)}
Since \frac{\left(m+1\right)x}{\left(m-2\right)\left(m+2\right)} and \frac{3\left(m-2\right)\left(m+2\right)}{\left(m-2\right)\left(m+2\right)} have the same denominator, add them by adding their numerators.
\frac{mx+x+3m^{2}+6m-6m-12}{\left(m-2\right)\left(m+2\right)}
Do the multiplications in \left(m+1\right)x+3\left(m-2\right)\left(m+2\right).
\frac{mx+x+3m^{2}-12}{\left(m-2\right)\left(m+2\right)}
Combine like terms in mx+x+3m^{2}+6m-6m-12.
\frac{mx+x+3m^{2}-12}{m^{2}-4}
Expand \left(m-2\right)\left(m+2\right).
\frac{\left(m+1\right)x}{m^{2}-4}+3
Express \frac{m+1}{m^{2}-4}x as a single fraction.
\frac{\left(m+1\right)x}{\left(m-2\right)\left(m+2\right)}+3
Factor m^{2}-4.
\frac{\left(m+1\right)x}{\left(m-2\right)\left(m+2\right)}+\frac{3\left(m-2\right)\left(m+2\right)}{\left(m-2\right)\left(m+2\right)}
To add or subtract expressions, expand them to make their denominators the same. Multiply 3 times \frac{\left(m-2\right)\left(m+2\right)}{\left(m-2\right)\left(m+2\right)}.
\frac{\left(m+1\right)x+3\left(m-2\right)\left(m+2\right)}{\left(m-2\right)\left(m+2\right)}
Since \frac{\left(m+1\right)x}{\left(m-2\right)\left(m+2\right)} and \frac{3\left(m-2\right)\left(m+2\right)}{\left(m-2\right)\left(m+2\right)} have the same denominator, add them by adding their numerators.
\frac{mx+x+3m^{2}+6m-6m-12}{\left(m-2\right)\left(m+2\right)}
Do the multiplications in \left(m+1\right)x+3\left(m-2\right)\left(m+2\right).
\frac{mx+x+3m^{2}-12}{\left(m-2\right)\left(m+2\right)}
Combine like terms in mx+x+3m^{2}+6m-6m-12.
\frac{mx+x+3m^{2}-12}{m^{2}-4}
Expand \left(m-2\right)\left(m+2\right).
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Simultaneous equation
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Differentiation
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Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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