Evaluate
-3\left(x-5\right)\left(x+1\right)\left(x+6\right)
Expand
90+87x-6x^{2}-3x^{3}
Graph
Share
Copied to clipboard
\left(-3x-3\right)\left(x-5\right)\left(x+6\right)
Use the distributive property to multiply -3 by x+1.
\left(-3x^{2}+15x-3x+15\right)\left(x+6\right)
Apply the distributive property by multiplying each term of -3x-3 by each term of x-5.
\left(-3x^{2}+12x+15\right)\left(x+6\right)
Combine 15x and -3x to get 12x.
-3x^{3}-18x^{2}+12x^{2}+72x+15x+90
Apply the distributive property by multiplying each term of -3x^{2}+12x+15 by each term of x+6.
-3x^{3}-6x^{2}+72x+15x+90
Combine -18x^{2} and 12x^{2} to get -6x^{2}.
-3x^{3}-6x^{2}+87x+90
Combine 72x and 15x to get 87x.
\left(-3x-3\right)\left(x-5\right)\left(x+6\right)
Use the distributive property to multiply -3 by x+1.
\left(-3x^{2}+15x-3x+15\right)\left(x+6\right)
Apply the distributive property by multiplying each term of -3x-3 by each term of x-5.
\left(-3x^{2}+12x+15\right)\left(x+6\right)
Combine 15x and -3x to get 12x.
-3x^{3}-18x^{2}+12x^{2}+72x+15x+90
Apply the distributive property by multiplying each term of -3x^{2}+12x+15 by each term of x+6.
-3x^{3}-6x^{2}+72x+15x+90
Combine -18x^{2} and 12x^{2} to get -6x^{2}.
-3x^{3}-6x^{2}+87x+90
Combine 72x and 15x to get 87x.
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}