Evaluate
4x^{3}-28x^{2}+36x-10
Expand
4x^{3}-28x^{2}+36x-10
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Quiz
Polynomial
5 problems similar to:
2 \{ ( x - 5 ) ( x ^ { 2 } - 4 x + 1 ) - x [ 3 - x ( x - 5 ) ] \}
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2\left(x^{3}-9x^{2}+21x-5-x\left(3-x\left(x-5\right)\right)\right)
Use the distributive property to multiply x-5 by x^{2}-4x+1 and combine like terms.
2\left(x^{3}-9x^{2}+21x-5-x\left(3-\left(x^{2}-5x\right)\right)\right)
Use the distributive property to multiply x by x-5.
2\left(x^{3}-9x^{2}+21x-5-x\left(3-x^{2}+5x\right)\right)
To find the opposite of x^{2}-5x, find the opposite of each term.
2\left(x^{3}-9x^{2}+21x-5-\left(3x-x^{3}+5x^{2}\right)\right)
Use the distributive property to multiply x by 3-x^{2}+5x.
2\left(x^{3}-9x^{2}+21x-5-3x+x^{3}-5x^{2}\right)
To find the opposite of 3x-x^{3}+5x^{2}, find the opposite of each term.
2\left(x^{3}-9x^{2}+18x-5+x^{3}-5x^{2}\right)
Combine 21x and -3x to get 18x.
2\left(2x^{3}-9x^{2}+18x-5-5x^{2}\right)
Combine x^{3} and x^{3} to get 2x^{3}.
2\left(2x^{3}-14x^{2}+18x-5\right)
Combine -9x^{2} and -5x^{2} to get -14x^{2}.
4x^{3}-28x^{2}+36x-10
Use the distributive property to multiply 2 by 2x^{3}-14x^{2}+18x-5.
2\left(x^{3}-9x^{2}+21x-5-x\left(3-x\left(x-5\right)\right)\right)
Use the distributive property to multiply x-5 by x^{2}-4x+1 and combine like terms.
2\left(x^{3}-9x^{2}+21x-5-x\left(3-\left(x^{2}-5x\right)\right)\right)
Use the distributive property to multiply x by x-5.
2\left(x^{3}-9x^{2}+21x-5-x\left(3-x^{2}+5x\right)\right)
To find the opposite of x^{2}-5x, find the opposite of each term.
2\left(x^{3}-9x^{2}+21x-5-\left(3x-x^{3}+5x^{2}\right)\right)
Use the distributive property to multiply x by 3-x^{2}+5x.
2\left(x^{3}-9x^{2}+21x-5-3x+x^{3}-5x^{2}\right)
To find the opposite of 3x-x^{3}+5x^{2}, find the opposite of each term.
2\left(x^{3}-9x^{2}+18x-5+x^{3}-5x^{2}\right)
Combine 21x and -3x to get 18x.
2\left(2x^{3}-9x^{2}+18x-5-5x^{2}\right)
Combine x^{3} and x^{3} to get 2x^{3}.
2\left(2x^{3}-14x^{2}+18x-5\right)
Combine -9x^{2} and -5x^{2} to get -14x^{2}.
4x^{3}-28x^{2}+36x-10
Use the distributive property to multiply 2 by 2x^{3}-14x^{2}+18x-5.
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}