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2t^{2}-5t+9
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2t^{2}-5t+9
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\left(-3\right)^{2}+\left(2t-5\right)\left(t-1\right)+2t-5
Subtract 5 from 2 to get -3.
9+\left(2t-5\right)\left(t-1\right)+2t-5
Calculate -3 to the power of 2 and get 9.
9+2t^{2}-7t+5+2t-5
Use the distributive property to multiply 2t-5 by t-1 and combine like terms.
14+2t^{2}-7t+2t-5
Add 9 and 5 to get 14.
14+2t^{2}-5t-5
Combine -7t and 2t to get -5t.
9+2t^{2}-5t
Subtract 5 from 14 to get 9.
\left(-3\right)^{2}+\left(2t-5\right)\left(t-1\right)+2t-5
Subtract 5 from 2 to get -3.
9+\left(2t-5\right)\left(t-1\right)+2t-5
Calculate -3 to the power of 2 and get 9.
9+2t^{2}-7t+5+2t-5
Use the distributive property to multiply 2t-5 by t-1 and combine like terms.
14+2t^{2}-7t+2t-5
Add 9 and 5 to get 14.
14+2t^{2}-5t-5
Combine -7t and 2t to get -5t.
9+2t^{2}-5t
Subtract 5 from 14 to get 9.
Examples
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{ 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}