Evaluate
9x^{2}-48x-11
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9x^{2}-48x-11
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\left(6x+2\right)\left(2x-1\right)-2\left(6x+1\right)\left(x+2\right)+\left(-3x\right)^{2}-5\left(4x+1\right)
Use the distributive property to multiply 2 by 3x+1.
12x^{2}-2x-2-2\left(6x+1\right)\left(x+2\right)+\left(-3x\right)^{2}-5\left(4x+1\right)
Use the distributive property to multiply 6x+2 by 2x-1 and combine like terms.
12x^{2}-2x-2-2\left(6x+1\right)\left(x+2\right)+\left(-3\right)^{2}x^{2}-5\left(4x+1\right)
Expand \left(-3x\right)^{2}.
12x^{2}-2x-2-2\left(6x+1\right)\left(x+2\right)+9x^{2}-5\left(4x+1\right)
Calculate -3 to the power of 2 and get 9.
12x^{2}-2x-2-2\left(6x+1\right)\left(x+2\right)+9x^{2}-20x-5
Use the distributive property to multiply -5 by 4x+1.
12x^{2}-2x-2+\left(-12x-2\right)\left(x+2\right)+9x^{2}-20x-5
Use the distributive property to multiply -2 by 6x+1.
12x^{2}-2x-2-12x^{2}-26x-4+9x^{2}-20x-5
Use the distributive property to multiply -12x-2 by x+2 and combine like terms.
-2x-2-26x-4+9x^{2}-20x-5
Combine 12x^{2} and -12x^{2} to get 0.
-28x-2-4+9x^{2}-20x-5
Combine -2x and -26x to get -28x.
-28x-6+9x^{2}-20x-5
Subtract 4 from -2 to get -6.
-48x-6+9x^{2}-5
Combine -28x and -20x to get -48x.
-48x-11+9x^{2}
Subtract 5 from -6 to get -11.
\left(6x+2\right)\left(2x-1\right)-2\left(6x+1\right)\left(x+2\right)+\left(-3x\right)^{2}-5\left(4x+1\right)
Use the distributive property to multiply 2 by 3x+1.
12x^{2}-2x-2-2\left(6x+1\right)\left(x+2\right)+\left(-3x\right)^{2}-5\left(4x+1\right)
Use the distributive property to multiply 6x+2 by 2x-1 and combine like terms.
12x^{2}-2x-2-2\left(6x+1\right)\left(x+2\right)+\left(-3\right)^{2}x^{2}-5\left(4x+1\right)
Expand \left(-3x\right)^{2}.
12x^{2}-2x-2-2\left(6x+1\right)\left(x+2\right)+9x^{2}-5\left(4x+1\right)
Calculate -3 to the power of 2 and get 9.
12x^{2}-2x-2-2\left(6x+1\right)\left(x+2\right)+9x^{2}-20x-5
Use the distributive property to multiply -5 by 4x+1.
12x^{2}-2x-2+\left(-12x-2\right)\left(x+2\right)+9x^{2}-20x-5
Use the distributive property to multiply -2 by 6x+1.
12x^{2}-2x-2-12x^{2}-26x-4+9x^{2}-20x-5
Use the distributive property to multiply -12x-2 by x+2 and combine like terms.
-2x-2-26x-4+9x^{2}-20x-5
Combine 12x^{2} and -12x^{2} to get 0.
-28x-2-4+9x^{2}-20x-5
Combine -2x and -26x to get -28x.
-28x-6+9x^{2}-20x-5
Subtract 4 from -2 to get -6.
-48x-6+9x^{2}-5
Combine -28x and -20x to get -48x.
-48x-11+9x^{2}
Subtract 5 from -6 to get -11.
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}