Evaluate
-\frac{Q^{2}}{2000}+121Q
Expand
-\frac{Q^{2}}{2000}+121Q
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\left(\frac{121\times 2000}{2000}-\frac{Q}{2000}\right)Q
To add or subtract expressions, expand them to make their denominators the same. Multiply 121 times \frac{2000}{2000}.
\frac{121\times 2000-Q}{2000}Q
Since \frac{121\times 2000}{2000} and \frac{Q}{2000} have the same denominator, subtract them by subtracting their numerators.
\frac{242000-Q}{2000}Q
Do the multiplications in 121\times 2000-Q.
\frac{\left(242000-Q\right)Q}{2000}
Express \frac{242000-Q}{2000}Q as a single fraction.
\frac{242000Q-Q^{2}}{2000}
Use the distributive property to multiply 242000-Q by Q.
\left(\frac{121\times 2000}{2000}-\frac{Q}{2000}\right)Q
To add or subtract expressions, expand them to make their denominators the same. Multiply 121 times \frac{2000}{2000}.
\frac{121\times 2000-Q}{2000}Q
Since \frac{121\times 2000}{2000} and \frac{Q}{2000} have the same denominator, subtract them by subtracting their numerators.
\frac{242000-Q}{2000}Q
Do the multiplications in 121\times 2000-Q.
\frac{\left(242000-Q\right)Q}{2000}
Express \frac{242000-Q}{2000}Q as a single fraction.
\frac{242000Q-Q^{2}}{2000}
Use the distributive property to multiply 242000-Q by Q.
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}