Evaluate
6a^{2}+5a-\frac{1}{5}
Factor
6\left(a-\left(-\frac{\sqrt{745}}{60}-\frac{5}{12}\right)\right)\left(a-\left(\frac{\sqrt{745}}{60}-\frac{5}{12}\right)\right)
Share
Copied to clipboard
5a+2a^{2}\times 3+\frac{a}{4a-9a}
Multiply a and a to get a^{2}.
5a+6a^{2}+\frac{a}{4a-9a}
Multiply 2 and 3 to get 6.
5a+6a^{2}+\frac{a}{-5a}
Combine 4a and -9a to get -5a.
5a+6a^{2}+\frac{1}{-5}
Cancel out a in both numerator and denominator.
5a+6a^{2}-\frac{1}{5}
Fraction \frac{1}{-5} can be rewritten as -\frac{1}{5} by extracting the negative sign.
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}