Evaluate
\frac{2\left(x-4\right)\left(x-2.75\right)}{3}
Expand
\frac{2x^{2}}{3}-\frac{9x}{2}+\frac{22}{3}
Graph
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\frac{\left(x-2.75\right)\left(x-4\right)}{-0.75\left(2-4\right)}
Subtract 2.75 from 2 to get -0.75.
\frac{\left(x-2.75\right)\left(x-4\right)}{-0.75\left(-2\right)}
Subtract 4 from 2 to get -2.
\frac{\left(x-2.75\right)\left(x-4\right)}{1.5}
Multiply -0.75 and -2 to get 1.5.
\frac{x^{2}-4x-2.75x+11}{1.5}
Apply the distributive property by multiplying each term of x-2.75 by each term of x-4.
\frac{x^{2}-6.75x+11}{1.5}
Combine -4x and -2.75x to get -6.75x.
\frac{\left(x-2.75\right)\left(x-4\right)}{-0.75\left(2-4\right)}
Subtract 2.75 from 2 to get -0.75.
\frac{\left(x-2.75\right)\left(x-4\right)}{-0.75\left(-2\right)}
Subtract 4 from 2 to get -2.
\frac{\left(x-2.75\right)\left(x-4\right)}{1.5}
Multiply -0.75 and -2 to get 1.5.
\frac{x^{2}-4x-2.75x+11}{1.5}
Apply the distributive property by multiplying each term of x-2.75 by each term of x-4.
\frac{x^{2}-6.75x+11}{1.5}
Combine -4x and -2.75x to get -6.75x.
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}