Expand
3x^{3}+12x^{2}-21x-30
Evaluate
3\left(x-2\right)\left(x+1\right)\left(x+5\right)
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\left(3x-6\right)\left(x+1\right)\left(x+5\right)
Use the distributive property to multiply 3 by x-2.
\left(3x^{2}+3x-6x-6\right)\left(x+5\right)
Apply the distributive property by multiplying each term of 3x-6 by each term of x+1.
\left(3x^{2}-3x-6\right)\left(x+5\right)
Combine 3x and -6x to get -3x.
3x^{3}+15x^{2}-3x^{2}-15x-6x-30
Apply the distributive property by multiplying each term of 3x^{2}-3x-6 by each term of x+5.
3x^{3}+12x^{2}-15x-6x-30
Combine 15x^{2} and -3x^{2} to get 12x^{2}.
3x^{3}+12x^{2}-21x-30
Combine -15x and -6x to get -21x.
\left(3x-6\right)\left(x+1\right)\left(x+5\right)
Use the distributive property to multiply 3 by x-2.
\left(3x^{2}+3x-6x-6\right)\left(x+5\right)
Apply the distributive property by multiplying each term of 3x-6 by each term of x+1.
\left(3x^{2}-3x-6\right)\left(x+5\right)
Combine 3x and -6x to get -3x.
3x^{3}+15x^{2}-3x^{2}-15x-6x-30
Apply the distributive property by multiplying each term of 3x^{2}-3x-6 by each term of x+5.
3x^{3}+12x^{2}-15x-6x-30
Combine 15x^{2} and -3x^{2} to get 12x^{2}.
3x^{3}+12x^{2}-21x-30
Combine -15x and -6x to get -21x.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
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}