Evaluate
2\left(m+3\right)
Expand
2m+6
Quiz
Polynomial
5 problems similar to:
( m + 2 - \frac { 5 } { m - 2 } ) \div \frac { m - 3 } { 2 m - 4 }
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\frac{\frac{\left(m+2\right)\left(m-2\right)}{m-2}-\frac{5}{m-2}}{\frac{m-3}{2m-4}}
To add or subtract expressions, expand them to make their denominators the same. Multiply m+2 times \frac{m-2}{m-2}.
\frac{\frac{\left(m+2\right)\left(m-2\right)-5}{m-2}}{\frac{m-3}{2m-4}}
Since \frac{\left(m+2\right)\left(m-2\right)}{m-2} and \frac{5}{m-2} have the same denominator, subtract them by subtracting their numerators.
\frac{\frac{m^{2}-2m+2m-4-5}{m-2}}{\frac{m-3}{2m-4}}
Do the multiplications in \left(m+2\right)\left(m-2\right)-5.
\frac{\frac{m^{2}-9}{m-2}}{\frac{m-3}{2m-4}}
Combine like terms in m^{2}-2m+2m-4-5.
\frac{\left(m^{2}-9\right)\left(2m-4\right)}{\left(m-2\right)\left(m-3\right)}
Divide \frac{m^{2}-9}{m-2} by \frac{m-3}{2m-4} by multiplying \frac{m^{2}-9}{m-2} by the reciprocal of \frac{m-3}{2m-4}.
\frac{2\left(m-3\right)\left(m-2\right)\left(m+3\right)}{\left(m-3\right)\left(m-2\right)}
Factor the expressions that are not already factored.
2\left(m+3\right)
Cancel out \left(m-3\right)\left(m-2\right) in both numerator and denominator.
2m+6
Expand the expression.
\frac{\frac{\left(m+2\right)\left(m-2\right)}{m-2}-\frac{5}{m-2}}{\frac{m-3}{2m-4}}
To add or subtract expressions, expand them to make their denominators the same. Multiply m+2 times \frac{m-2}{m-2}.
\frac{\frac{\left(m+2\right)\left(m-2\right)-5}{m-2}}{\frac{m-3}{2m-4}}
Since \frac{\left(m+2\right)\left(m-2\right)}{m-2} and \frac{5}{m-2} have the same denominator, subtract them by subtracting their numerators.
\frac{\frac{m^{2}-2m+2m-4-5}{m-2}}{\frac{m-3}{2m-4}}
Do the multiplications in \left(m+2\right)\left(m-2\right)-5.
\frac{\frac{m^{2}-9}{m-2}}{\frac{m-3}{2m-4}}
Combine like terms in m^{2}-2m+2m-4-5.
\frac{\left(m^{2}-9\right)\left(2m-4\right)}{\left(m-2\right)\left(m-3\right)}
Divide \frac{m^{2}-9}{m-2} by \frac{m-3}{2m-4} by multiplying \frac{m^{2}-9}{m-2} by the reciprocal of \frac{m-3}{2m-4}.
\frac{2\left(m-3\right)\left(m-2\right)\left(m+3\right)}{\left(m-3\right)\left(m-2\right)}
Factor the expressions that are not already factored.
2\left(m+3\right)
Cancel out \left(m-3\right)\left(m-2\right) in both numerator and denominator.
2m+6
Expand the expression.
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}