Evaluate
\left(x+1\right)\left(2x^{2}-x-14\right)
Expand
2x^{3}+x^{2}-15x-14
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\left(2x^{2}-6x+3x-9\right)\left(x+2\right)+4
Apply the distributive property by multiplying each term of 2x+3 by each term of x-3.
\left(2x^{2}-3x-9\right)\left(x+2\right)+4
Combine -6x and 3x to get -3x.
2x^{3}+4x^{2}-3x^{2}-6x-9x-18+4
Apply the distributive property by multiplying each term of 2x^{2}-3x-9 by each term of x+2.
2x^{3}+x^{2}-6x-9x-18+4
Combine 4x^{2} and -3x^{2} to get x^{2}.
2x^{3}+x^{2}-15x-18+4
Combine -6x and -9x to get -15x.
2x^{3}+x^{2}-15x-14
Add -18 and 4 to get -14.
\left(2x^{2}-6x+3x-9\right)\left(x+2\right)+4
Apply the distributive property by multiplying each term of 2x+3 by each term of x-3.
\left(2x^{2}-3x-9\right)\left(x+2\right)+4
Combine -6x and 3x to get -3x.
2x^{3}+4x^{2}-3x^{2}-6x-9x-18+4
Apply the distributive property by multiplying each term of 2x^{2}-3x-9 by each term of x+2.
2x^{3}+x^{2}-6x-9x-18+4
Combine 4x^{2} and -3x^{2} to get x^{2}.
2x^{3}+x^{2}-15x-18+4
Combine -6x and -9x to get -15x.
2x^{3}+x^{2}-15x-14
Add -18 and 4 to get -14.
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
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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
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}