Evaluate
x\left(3x^{2}+4x+8\right)\left(x^{4}-2x^{3}+4\right)
Expand
3x^{7}-2x^{6}-16x^{4}+12x^{3}+16x^{2}+32x
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\left(4x+x^{5}-2x^{4}\right)\left(8+2x^{2}+4x+x^{2}\right)
Combine 6x and -2x to get 4x.
\left(4x+x^{5}-2x^{4}\right)\left(8+3x^{2}+4x\right)
Combine 2x^{2} and x^{2} to get 3x^{2}.
32x+12x^{3}+16x^{2}+3x^{7}-2x^{6}-16x^{4}
Use the distributive property to multiply 4x+x^{5}-2x^{4} by 8+3x^{2}+4x and combine like terms.
\left(4x+x^{5}-2x^{4}\right)\left(8+2x^{2}+4x+x^{2}\right)
Combine 6x and -2x to get 4x.
\left(4x+x^{5}-2x^{4}\right)\left(8+3x^{2}+4x\right)
Combine 2x^{2} and x^{2} to get 3x^{2}.
32x+12x^{3}+16x^{2}+3x^{7}-2x^{6}-16x^{4}
Use the distributive property to multiply 4x+x^{5}-2x^{4} by 8+3x^{2}+4x and combine like terms.
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}