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3x^{5}-20x^{4}+10x^{3}-69x+45
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3x^{5}-20x^{4}+10x^{3}-69x+45
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5x^{5}-20x^{4}+10x^{3}-x\left(2x^{4}+6\right)-9\left(7x-5\right)
Use the distributive property to multiply 5x^{2} by x^{3}-4x^{2}+2x.
5x^{5}-20x^{4}+10x^{3}-\left(2x^{5}+6x\right)-9\left(7x-5\right)
Use the distributive property to multiply x by 2x^{4}+6.
5x^{5}-20x^{4}+10x^{3}-2x^{5}-6x-9\left(7x-5\right)
To find the opposite of 2x^{5}+6x, find the opposite of each term.
3x^{5}-20x^{4}+10x^{3}-6x-9\left(7x-5\right)
Combine 5x^{5} and -2x^{5} to get 3x^{5}.
3x^{5}-20x^{4}+10x^{3}-6x-63x+45
Use the distributive property to multiply -9 by 7x-5.
3x^{5}-20x^{4}+10x^{3}-69x+45
Combine -6x and -63x to get -69x.
5x^{5}-20x^{4}+10x^{3}-x\left(2x^{4}+6\right)-9\left(7x-5\right)
Use the distributive property to multiply 5x^{2} by x^{3}-4x^{2}+2x.
5x^{5}-20x^{4}+10x^{3}-\left(2x^{5}+6x\right)-9\left(7x-5\right)
Use the distributive property to multiply x by 2x^{4}+6.
5x^{5}-20x^{4}+10x^{3}-2x^{5}-6x-9\left(7x-5\right)
To find the opposite of 2x^{5}+6x, find the opposite of each term.
3x^{5}-20x^{4}+10x^{3}-6x-9\left(7x-5\right)
Combine 5x^{5} and -2x^{5} to get 3x^{5}.
3x^{5}-20x^{4}+10x^{3}-6x-63x+45
Use the distributive property to multiply -9 by 7x-5.
3x^{5}-20x^{4}+10x^{3}-69x+45
Combine -6x and -63x to get -69x.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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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}