(-5 { x }^{ 3 } + { x }^{ 2 } +5x-y)-(-9 { x }^{ 4 } +4 { x }^{ 2 } +6x+2 { y }^{ 2 }
Evaluate
9x^{4}-5x^{3}-3x^{2}-x-2y^{2}-y
Expand
9x^{4}-5x^{3}-3x^{2}-x-2y^{2}-y
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-5x^{3}+x^{2}+5x-y+9x^{4}-4x^{2}-6x-2y^{2}
To find the opposite of -9x^{4}+4x^{2}+6x+2y^{2}, find the opposite of each term.
-5x^{3}-3x^{2}+5x-y+9x^{4}-6x-2y^{2}
Combine x^{2} and -4x^{2} to get -3x^{2}.
-5x^{3}-3x^{2}-x-y+9x^{4}-2y^{2}
Combine 5x and -6x to get -x.
-5x^{3}+x^{2}+5x-y+9x^{4}-4x^{2}-6x-2y^{2}
To find the opposite of -9x^{4}+4x^{2}+6x+2y^{2}, find the opposite of each term.
-5x^{3}-3x^{2}+5x-y+9x^{4}-6x-2y^{2}
Combine x^{2} and -4x^{2} to get -3x^{2}.
-5x^{3}-3x^{2}-x-y+9x^{4}-2y^{2}
Combine 5x and -6x to get -x.
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}