Evaluate
3x^{2}-x-26
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3x^{2}-x-26
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\left(3x-9\right)\left(x+3\right)-\left(x-1\right)
Use the distributive property to multiply 3 by x-3.
3x^{2}+9x-9x-27-\left(x-1\right)
Apply the distributive property by multiplying each term of 3x-9 by each term of x+3.
3x^{2}-27-\left(x-1\right)
Combine 9x and -9x to get 0.
3x^{2}-27-x-\left(-1\right)
To find the opposite of x-1, find the opposite of each term.
3x^{2}-27-x+1
The opposite of -1 is 1.
3x^{2}-26-x
Add -27 and 1 to get -26.
\left(3x-9\right)\left(x+3\right)-\left(x-1\right)
Use the distributive property to multiply 3 by x-3.
3x^{2}+9x-9x-27-\left(x-1\right)
Apply the distributive property by multiplying each term of 3x-9 by each term of x+3.
3x^{2}-27-\left(x-1\right)
Combine 9x and -9x to get 0.
3x^{2}-27-x-\left(-1\right)
To find the opposite of x-1, find the opposite of each term.
3x^{2}-27-x+1
The opposite of -1 is 1.
3x^{2}-26-x
Add -27 and 1 to get -26.
Examples
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Linear equation
y = 3x + 4
Arithmetic
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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}