Evaluate
x^{2}-6x-1
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x^{2}-6x-1
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\left(-2x-\left(-1\right)\right)\left(x+1\right)-\left(3x+1\right)\left(2-x\right)
To find the opposite of 2x-1, find the opposite of each term.
\left(-2x+1\right)\left(x+1\right)-\left(3x+1\right)\left(2-x\right)
The opposite of -1 is 1.
-2x^{2}-2x+x+1-\left(3x+1\right)\left(2-x\right)
Apply the distributive property by multiplying each term of -2x+1 by each term of x+1.
-2x^{2}-x+1-\left(3x+1\right)\left(2-x\right)
Combine -2x and x to get -x.
-2x^{2}-x+1-\left(6x-3x^{2}+2-x\right)
Apply the distributive property by multiplying each term of 3x+1 by each term of 2-x.
-2x^{2}-x+1-\left(5x-3x^{2}+2\right)
Combine 6x and -x to get 5x.
-2x^{2}-x+1-5x-\left(-3x^{2}\right)-2
To find the opposite of 5x-3x^{2}+2, find the opposite of each term.
-2x^{2}-x+1-5x+3x^{2}-2
The opposite of -3x^{2} is 3x^{2}.
-2x^{2}-6x+1+3x^{2}-2
Combine -x and -5x to get -6x.
x^{2}-6x+1-2
Combine -2x^{2} and 3x^{2} to get x^{2}.
x^{2}-6x-1
Subtract 2 from 1 to get -1.
\left(-2x-\left(-1\right)\right)\left(x+1\right)-\left(3x+1\right)\left(2-x\right)
To find the opposite of 2x-1, find the opposite of each term.
\left(-2x+1\right)\left(x+1\right)-\left(3x+1\right)\left(2-x\right)
The opposite of -1 is 1.
-2x^{2}-2x+x+1-\left(3x+1\right)\left(2-x\right)
Apply the distributive property by multiplying each term of -2x+1 by each term of x+1.
-2x^{2}-x+1-\left(3x+1\right)\left(2-x\right)
Combine -2x and x to get -x.
-2x^{2}-x+1-\left(6x-3x^{2}+2-x\right)
Apply the distributive property by multiplying each term of 3x+1 by each term of 2-x.
-2x^{2}-x+1-\left(5x-3x^{2}+2\right)
Combine 6x and -x to get 5x.
-2x^{2}-x+1-5x-\left(-3x^{2}\right)-2
To find the opposite of 5x-3x^{2}+2, find the opposite of each term.
-2x^{2}-x+1-5x+3x^{2}-2
The opposite of -3x^{2} is 3x^{2}.
-2x^{2}-6x+1+3x^{2}-2
Combine -x and -5x to get -6x.
x^{2}-6x+1-2
Combine -2x^{2} and 3x^{2} to get x^{2}.
x^{2}-6x-1
Subtract 2 from 1 to get -1.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}