Evaluate
5\left(x-2\right)\left(2x+3\right)\left(3x+2\right)
Expand
30x^{3}+5x^{2}-100x-60
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\left(-10x-15\right)\left(3x+2\right)\left(2-x\right)
Use the distributive property to multiply -5 by 2x+3.
\left(-30x^{2}-20x-45x-30\right)\left(2-x\right)
Apply the distributive property by multiplying each term of -10x-15 by each term of 3x+2.
\left(-30x^{2}-65x-30\right)\left(2-x\right)
Combine -20x and -45x to get -65x.
-60x^{2}+30x^{3}-130x+65x^{2}-60+30x
Apply the distributive property by multiplying each term of -30x^{2}-65x-30 by each term of 2-x.
5x^{2}+30x^{3}-130x-60+30x
Combine -60x^{2} and 65x^{2} to get 5x^{2}.
5x^{2}+30x^{3}-100x-60
Combine -130x and 30x to get -100x.
\left(-10x-15\right)\left(3x+2\right)\left(2-x\right)
Use the distributive property to multiply -5 by 2x+3.
\left(-30x^{2}-20x-45x-30\right)\left(2-x\right)
Apply the distributive property by multiplying each term of -10x-15 by each term of 3x+2.
\left(-30x^{2}-65x-30\right)\left(2-x\right)
Combine -20x and -45x to get -65x.
-60x^{2}+30x^{3}-130x+65x^{2}-60+30x
Apply the distributive property by multiplying each term of -30x^{2}-65x-30 by each term of 2-x.
5x^{2}+30x^{3}-130x-60+30x
Combine -60x^{2} and 65x^{2} to get 5x^{2}.
5x^{2}+30x^{3}-100x-60
Combine -130x and 30x to get -100x.
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}