Evaluate
\frac{4\left(x+6\right)}{3}
Expand
\frac{4x}{3}+8
Graph
Quiz
Polynomial
\frac { 12 x ^ { 2 } + 16 } { x - 6 } \div \frac { 9 x ^ { 2 } + 12 } { x ^ { 2 } - 36 }
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\frac{\left(12x^{2}+16\right)\left(x^{2}-36\right)}{\left(x-6\right)\left(9x^{2}+12\right)}
Divide \frac{12x^{2}+16}{x-6} by \frac{9x^{2}+12}{x^{2}-36} by multiplying \frac{12x^{2}+16}{x-6} by the reciprocal of \frac{9x^{2}+12}{x^{2}-36}.
\frac{4\left(x-6\right)\left(x+6\right)\left(3x^{2}+4\right)}{3\left(x-6\right)\left(3x^{2}+4\right)}
Factor the expressions that are not already factored.
\frac{4\left(x+6\right)}{3}
Cancel out \left(x-6\right)\left(3x^{2}+4\right) in both numerator and denominator.
\frac{4x+24}{3}
Expand the expression.
\frac{\left(12x^{2}+16\right)\left(x^{2}-36\right)}{\left(x-6\right)\left(9x^{2}+12\right)}
Divide \frac{12x^{2}+16}{x-6} by \frac{9x^{2}+12}{x^{2}-36} by multiplying \frac{12x^{2}+16}{x-6} by the reciprocal of \frac{9x^{2}+12}{x^{2}-36}.
\frac{4\left(x-6\right)\left(x+6\right)\left(3x^{2}+4\right)}{3\left(x-6\right)\left(3x^{2}+4\right)}
Factor the expressions that are not already factored.
\frac{4\left(x+6\right)}{3}
Cancel out \left(x-6\right)\left(3x^{2}+4\right) in both numerator and denominator.
\frac{4x+24}{3}
Expand the expression.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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\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}