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Factor
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Algebra
5 problems similar to:
\frac { x ^ { 2 } + 7 x + 6 } { x y + 6 y } \div \frac { x + 1 } { y }
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\frac{\left(x^{2}+7x+6\right)y}{\left(xy+6y\right)\left(x+1\right)}
Divide \frac{x^{2}+7x+6}{xy+6y} by \frac{x+1}{y} by multiplying \frac{x^{2}+7x+6}{xy+6y} by the reciprocal of \frac{x+1}{y}.
\frac{y\left(x+1\right)\left(x+6\right)}{y\left(x+1\right)\left(x+6\right)}
Factor the expressions that are not already factored.
1
Cancel out y\left(x+1\right)\left(x+6\right) in both numerator and denominator.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
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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}