Evaluate
\left(x-2\right)\left(17x+6\right)
Expand
17x^{2}-28x-12
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2\left(x^{2}-4x+4\right)+3\left(x^{2}-4\right)-4\left(2-x\right)\left(3x+1\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-2\right)^{2}.
2x^{2}-8x+8+3\left(x^{2}-4\right)-4\left(2-x\right)\left(3x+1\right)
Use the distributive property to multiply 2 by x^{2}-4x+4.
2x^{2}-8x+8+3x^{2}-12-4\left(2-x\right)\left(3x+1\right)
Use the distributive property to multiply 3 by x^{2}-4.
5x^{2}-8x+8-12-4\left(2-x\right)\left(3x+1\right)
Combine 2x^{2} and 3x^{2} to get 5x^{2}.
5x^{2}-8x-4-4\left(2-x\right)\left(3x+1\right)
Subtract 12 from 8 to get -4.
5x^{2}-8x-4+\left(-8+4x\right)\left(3x+1\right)
Use the distributive property to multiply -4 by 2-x.
5x^{2}-8x-4-20x-8+12x^{2}
Use the distributive property to multiply -8+4x by 3x+1 and combine like terms.
5x^{2}-28x-4-8+12x^{2}
Combine -8x and -20x to get -28x.
5x^{2}-28x-12+12x^{2}
Subtract 8 from -4 to get -12.
17x^{2}-28x-12
Combine 5x^{2} and 12x^{2} to get 17x^{2}.
2\left(x^{2}-4x+4\right)+3\left(x^{2}-4\right)-4\left(2-x\right)\left(3x+1\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-2\right)^{2}.
2x^{2}-8x+8+3\left(x^{2}-4\right)-4\left(2-x\right)\left(3x+1\right)
Use the distributive property to multiply 2 by x^{2}-4x+4.
2x^{2}-8x+8+3x^{2}-12-4\left(2-x\right)\left(3x+1\right)
Use the distributive property to multiply 3 by x^{2}-4.
5x^{2}-8x+8-12-4\left(2-x\right)\left(3x+1\right)
Combine 2x^{2} and 3x^{2} to get 5x^{2}.
5x^{2}-8x-4-4\left(2-x\right)\left(3x+1\right)
Subtract 12 from 8 to get -4.
5x^{2}-8x-4+\left(-8+4x\right)\left(3x+1\right)
Use the distributive property to multiply -4 by 2-x.
5x^{2}-8x-4-20x-8+12x^{2}
Use the distributive property to multiply -8+4x by 3x+1 and combine like terms.
5x^{2}-28x-4-8+12x^{2}
Combine -8x and -20x to get -28x.
5x^{2}-28x-12+12x^{2}
Subtract 8 from -4 to get -12.
17x^{2}-28x-12
Combine 5x^{2} and 12x^{2} to get 17x^{2}.
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}