Factor
2\left(x-2y\right)\left(3x+8\right)
Evaluate
2\left(x-2y\right)\left(3x+8\right)
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2\left(3x^{2}-6xy+8x-16y\right)
Factor out 2.
3x\left(x-2y\right)+8\left(x-2y\right)
Consider 3x^{2}-6xy+8x-16y. Do the grouping 3x^{2}-6xy+8x-16y=\left(3x^{2}-6xy\right)+\left(8x-16y\right), and factor out 3x in the first and 8 in the second group.
\left(x-2y\right)\left(3x+8\right)
Factor out common term x-2y by using distributive property.
2\left(x-2y\right)\left(3x+8\right)
Rewrite the complete factored expression.
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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Matrix
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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
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