Evaluate
x\left(33x-7\right)
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33x^{2}-7x
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5x^{3}+10x^{2}+5x-x\left(x-4\right)\left(5x-3\right)
Use the distributive property to multiply 5x by x^{2}+2x+1.
5x^{3}+10x^{2}+5x-\left(x^{2}-4x\right)\left(5x-3\right)
Use the distributive property to multiply x by x-4.
5x^{3}+10x^{2}+5x-\left(5x^{3}-23x^{2}+12x\right)
Use the distributive property to multiply x^{2}-4x by 5x-3 and combine like terms.
5x^{3}+10x^{2}+5x-5x^{3}+23x^{2}-12x
To find the opposite of 5x^{3}-23x^{2}+12x, find the opposite of each term.
10x^{2}+5x+23x^{2}-12x
Combine 5x^{3} and -5x^{3} to get 0.
33x^{2}+5x-12x
Combine 10x^{2} and 23x^{2} to get 33x^{2}.
33x^{2}-7x
Combine 5x and -12x to get -7x.
5x^{3}+10x^{2}+5x-x\left(x-4\right)\left(5x-3\right)
Use the distributive property to multiply 5x by x^{2}+2x+1.
5x^{3}+10x^{2}+5x-\left(x^{2}-4x\right)\left(5x-3\right)
Use the distributive property to multiply x by x-4.
5x^{3}+10x^{2}+5x-\left(5x^{3}-23x^{2}+12x\right)
Use the distributive property to multiply x^{2}-4x by 5x-3 and combine like terms.
5x^{3}+10x^{2}+5x-5x^{3}+23x^{2}-12x
To find the opposite of 5x^{3}-23x^{2}+12x, find the opposite of each term.
10x^{2}+5x+23x^{2}-12x
Combine 5x^{3} and -5x^{3} to get 0.
33x^{2}+5x-12x
Combine 10x^{2} and 23x^{2} to get 33x^{2}.
33x^{2}-7x
Combine 5x and -12x to get -7x.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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Matrix
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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}