Evaluate
-\left(2x+3\right)\left(x-2\right)^{2}
Expand
-2x^{3}+5x^{2}+4x-12
Graph
Quiz
Polynomial
5 problems similar to:
{ x }^{ 3 } -4x+ { x }^{ 2 } -4-(x-2) \times (3 { x }^{ 2 } +2x-4)=
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x^{3}-4x+x^{2}-4-\left(3x^{3}-4x^{2}-8x+8\right)
Use the distributive property to multiply x-2 by 3x^{2}+2x-4 and combine like terms.
x^{3}-4x+x^{2}-4-3x^{3}+4x^{2}+8x-8
To find the opposite of 3x^{3}-4x^{2}-8x+8, find the opposite of each term.
-2x^{3}-4x+x^{2}-4+4x^{2}+8x-8
Combine x^{3} and -3x^{3} to get -2x^{3}.
-2x^{3}-4x+5x^{2}-4+8x-8
Combine x^{2} and 4x^{2} to get 5x^{2}.
-2x^{3}+4x+5x^{2}-4-8
Combine -4x and 8x to get 4x.
-2x^{3}+4x+5x^{2}-12
Subtract 8 from -4 to get -12.
x^{3}-4x+x^{2}-4-\left(3x^{3}-4x^{2}-8x+8\right)
Use the distributive property to multiply x-2 by 3x^{2}+2x-4 and combine like terms.
x^{3}-4x+x^{2}-4-3x^{3}+4x^{2}+8x-8
To find the opposite of 3x^{3}-4x^{2}-8x+8, find the opposite of each term.
-2x^{3}-4x+x^{2}-4+4x^{2}+8x-8
Combine x^{3} and -3x^{3} to get -2x^{3}.
-2x^{3}-4x+5x^{2}-4+8x-8
Combine x^{2} and 4x^{2} to get 5x^{2}.
-2x^{3}+4x+5x^{2}-4-8
Combine -4x and 8x to get 4x.
-2x^{3}+4x+5x^{2}-12
Subtract 8 from -4 to get -12.
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}