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-3a^{2}+4a-3
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-3a^{2}+4a-3
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\left(-a\right)a+2\left(-a\right)-\left(2a^{2}-a+3\right)+5a
Use the distributive property to multiply -a by a+2.
\left(-a\right)a+2\left(-a\right)-2a^{2}+a-3+5a
To find the opposite of 2a^{2}-a+3, find the opposite of each term.
\left(-a\right)a+2\left(-a\right)-2a^{2}+6a-3
Combine a and 5a to get 6a.
-a^{2}+2\left(-1\right)a-2a^{2}+6a-3
Multiply a and a to get a^{2}.
-a^{2}-2a-2a^{2}+6a-3
Multiply 2 and -1 to get -2.
-3a^{2}-2a+6a-3
Combine -a^{2} and -2a^{2} to get -3a^{2}.
-3a^{2}+4a-3
Combine -2a and 6a to get 4a.
\left(-a\right)a+2\left(-a\right)-\left(2a^{2}-a+3\right)+5a
Use the distributive property to multiply -a by a+2.
\left(-a\right)a+2\left(-a\right)-2a^{2}+a-3+5a
To find the opposite of 2a^{2}-a+3, find the opposite of each term.
\left(-a\right)a+2\left(-a\right)-2a^{2}+6a-3
Combine a and 5a to get 6a.
-a^{2}+2\left(-1\right)a-2a^{2}+6a-3
Multiply a and a to get a^{2}.
-a^{2}-2a-2a^{2}+6a-3
Multiply 2 and -1 to get -2.
-3a^{2}-2a+6a-3
Combine -a^{2} and -2a^{2} to get -3a^{2}.
-3a^{2}+4a-3
Combine -2a and 6a to get 4a.
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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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}