Evaluate
6x^{5}-10x^{4}+7x^{3}+15
Expand
6x^{5}-10x^{4}+7x^{3}+15
Graph
Share
Copied to clipboard
5x^{3}+9x^{5}+15-7x^{4}-\left(3x^{4}+3x^{5}-2x^{3}\right)
Add 6 and 9 to get 15.
5x^{3}+9x^{5}+15-7x^{4}-3x^{4}-3x^{5}+2x^{3}
To find the opposite of 3x^{4}+3x^{5}-2x^{3}, find the opposite of each term.
5x^{3}+9x^{5}+15-10x^{4}-3x^{5}+2x^{3}
Combine -7x^{4} and -3x^{4} to get -10x^{4}.
5x^{3}+6x^{5}+15-10x^{4}+2x^{3}
Combine 9x^{5} and -3x^{5} to get 6x^{5}.
7x^{3}+6x^{5}+15-10x^{4}
Combine 5x^{3} and 2x^{3} to get 7x^{3}.
5x^{3}+9x^{5}+15-7x^{4}-\left(3x^{4}+3x^{5}-2x^{3}\right)
Add 6 and 9 to get 15.
5x^{3}+9x^{5}+15-7x^{4}-3x^{4}-3x^{5}+2x^{3}
To find the opposite of 3x^{4}+3x^{5}-2x^{3}, find the opposite of each term.
5x^{3}+9x^{5}+15-10x^{4}-3x^{5}+2x^{3}
Combine -7x^{4} and -3x^{4} to get -10x^{4}.
5x^{3}+6x^{5}+15-10x^{4}+2x^{3}
Combine 9x^{5} and -3x^{5} to get 6x^{5}.
7x^{3}+6x^{5}+15-10x^{4}
Combine 5x^{3} and 2x^{3} to get 7x^{3}.
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}