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9-56x-4x^{2}
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9-56x-4x^{2}
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9-4\left(x-\left(2x^{2}-12x-x\left(3x+1\right)\right)\right)
Use the distributive property to multiply 2x by x-6.
9-4\left(x-\left(2x^{2}-12x-\left(3x^{2}+x\right)\right)\right)
Use the distributive property to multiply x by 3x+1.
9-4\left(x-\left(2x^{2}-12x-3x^{2}-x\right)\right)
To find the opposite of 3x^{2}+x, find the opposite of each term.
9-4\left(x-\left(-x^{2}-12x-x\right)\right)
Combine 2x^{2} and -3x^{2} to get -x^{2}.
9-4\left(x-\left(-x^{2}-13x\right)\right)
Combine -12x and -x to get -13x.
9-4\left(x-\left(-x^{2}\right)-\left(-13x\right)\right)
To find the opposite of -x^{2}-13x, find the opposite of each term.
9-4\left(x+x^{2}-\left(-13x\right)\right)
The opposite of -x^{2} is x^{2}.
9-4\left(x+x^{2}+13x\right)
The opposite of -13x is 13x.
9-4\left(14x+x^{2}\right)
Combine x and 13x to get 14x.
9-56x-4x^{2}
Use the distributive property to multiply -4 by 14x+x^{2}.
9-4\left(x-\left(2x^{2}-12x-x\left(3x+1\right)\right)\right)
Use the distributive property to multiply 2x by x-6.
9-4\left(x-\left(2x^{2}-12x-\left(3x^{2}+x\right)\right)\right)
Use the distributive property to multiply x by 3x+1.
9-4\left(x-\left(2x^{2}-12x-3x^{2}-x\right)\right)
To find the opposite of 3x^{2}+x, find the opposite of each term.
9-4\left(x-\left(-x^{2}-12x-x\right)\right)
Combine 2x^{2} and -3x^{2} to get -x^{2}.
9-4\left(x-\left(-x^{2}-13x\right)\right)
Combine -12x and -x to get -13x.
9-4\left(x-\left(-x^{2}\right)-\left(-13x\right)\right)
To find the opposite of -x^{2}-13x, find the opposite of each term.
9-4\left(x+x^{2}-\left(-13x\right)\right)
The opposite of -x^{2} is x^{2}.
9-4\left(x+x^{2}+13x\right)
The opposite of -13x is 13x.
9-4\left(14x+x^{2}\right)
Combine x and 13x to get 14x.
9-56x-4x^{2}
Use the distributive property to multiply -4 by 14x+x^{2}.
Examples
Quadratic equation
{ 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}