Evaluate
2\left(x-3\right)\left(x+2\right)\left(3x+5\right)
Expand
6x^{3}+4x^{2}-46x-60
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\left(2x^{2}-6x+4x-12\right)\left(3x+5\right)
Apply the distributive property by multiplying each term of 2x+4 by each term of x-3.
\left(2x^{2}-2x-12\right)\left(3x+5\right)
Combine -6x and 4x to get -2x.
6x^{3}+10x^{2}-6x^{2}-10x-36x-60
Apply the distributive property by multiplying each term of 2x^{2}-2x-12 by each term of 3x+5.
6x^{3}+4x^{2}-10x-36x-60
Combine 10x^{2} and -6x^{2} to get 4x^{2}.
6x^{3}+4x^{2}-46x-60
Combine -10x and -36x to get -46x.
\left(2x^{2}-6x+4x-12\right)\left(3x+5\right)
Apply the distributive property by multiplying each term of 2x+4 by each term of x-3.
\left(2x^{2}-2x-12\right)\left(3x+5\right)
Combine -6x and 4x to get -2x.
6x^{3}+10x^{2}-6x^{2}-10x-36x-60
Apply the distributive property by multiplying each term of 2x^{2}-2x-12 by each term of 3x+5.
6x^{3}+4x^{2}-10x-36x-60
Combine 10x^{2} and -6x^{2} to get 4x^{2}.
6x^{3}+4x^{2}-46x-60
Combine -10x and -36x to get -46x.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}