Evaluate
-8x^{2}+24x-17
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-8x^{2}+24x-17
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1-\left(6x^{2}-4x-9x+6\right)-\left(2x-3\right)\left(x-4\right)
Apply the distributive property by multiplying each term of 2x-3 by each term of 3x-2.
1-\left(6x^{2}-13x+6\right)-\left(2x-3\right)\left(x-4\right)
Combine -4x and -9x to get -13x.
1-6x^{2}-\left(-13x\right)-6-\left(2x-3\right)\left(x-4\right)
To find the opposite of 6x^{2}-13x+6, find the opposite of each term.
1-6x^{2}+13x-6-\left(2x-3\right)\left(x-4\right)
The opposite of -13x is 13x.
-5-6x^{2}+13x-\left(2x-3\right)\left(x-4\right)
Subtract 6 from 1 to get -5.
-5-6x^{2}+13x-\left(2x^{2}-8x-3x+12\right)
Apply the distributive property by multiplying each term of 2x-3 by each term of x-4.
-5-6x^{2}+13x-\left(2x^{2}-11x+12\right)
Combine -8x and -3x to get -11x.
-5-6x^{2}+13x-2x^{2}-\left(-11x\right)-12
To find the opposite of 2x^{2}-11x+12, find the opposite of each term.
-5-6x^{2}+13x-2x^{2}+11x-12
The opposite of -11x is 11x.
-5-8x^{2}+13x+11x-12
Combine -6x^{2} and -2x^{2} to get -8x^{2}.
-5-8x^{2}+24x-12
Combine 13x and 11x to get 24x.
-17-8x^{2}+24x
Subtract 12 from -5 to get -17.
1-\left(6x^{2}-4x-9x+6\right)-\left(2x-3\right)\left(x-4\right)
Apply the distributive property by multiplying each term of 2x-3 by each term of 3x-2.
1-\left(6x^{2}-13x+6\right)-\left(2x-3\right)\left(x-4\right)
Combine -4x and -9x to get -13x.
1-6x^{2}-\left(-13x\right)-6-\left(2x-3\right)\left(x-4\right)
To find the opposite of 6x^{2}-13x+6, find the opposite of each term.
1-6x^{2}+13x-6-\left(2x-3\right)\left(x-4\right)
The opposite of -13x is 13x.
-5-6x^{2}+13x-\left(2x-3\right)\left(x-4\right)
Subtract 6 from 1 to get -5.
-5-6x^{2}+13x-\left(2x^{2}-8x-3x+12\right)
Apply the distributive property by multiplying each term of 2x-3 by each term of x-4.
-5-6x^{2}+13x-\left(2x^{2}-11x+12\right)
Combine -8x and -3x to get -11x.
-5-6x^{2}+13x-2x^{2}-\left(-11x\right)-12
To find the opposite of 2x^{2}-11x+12, find the opposite of each term.
-5-6x^{2}+13x-2x^{2}+11x-12
The opposite of -11x is 11x.
-5-8x^{2}+13x+11x-12
Combine -6x^{2} and -2x^{2} to get -8x^{2}.
-5-8x^{2}+24x-12
Combine 13x and 11x to get 24x.
-17-8x^{2}+24x
Subtract 12 from -5 to get -17.
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}