Evaluate
\frac{a^{2}}{9}+a-10
Expand
\frac{a^{2}}{9}+a-10
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\frac{1}{3}a\times \frac{1}{3}a+\frac{1}{3}a\times 5-2\times \frac{1}{3}a-10
Apply the distributive property by multiplying each term of \frac{1}{3}a-2 by each term of \frac{1}{3}a+5.
\frac{1}{3}a^{2}\times \frac{1}{3}+\frac{1}{3}a\times 5-2\times \frac{1}{3}a-10
Multiply a and a to get a^{2}.
\frac{1\times 1}{3\times 3}a^{2}+\frac{1}{3}a\times 5-2\times \frac{1}{3}a-10
Multiply \frac{1}{3} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.
\frac{1}{9}a^{2}+\frac{1}{3}a\times 5-2\times \frac{1}{3}a-10
Do the multiplications in the fraction \frac{1\times 1}{3\times 3}.
\frac{1}{9}a^{2}+\frac{5}{3}a-2\times \frac{1}{3}a-10
Multiply \frac{1}{3} and 5 to get \frac{5}{3}.
\frac{1}{9}a^{2}+\frac{5}{3}a+\frac{-2}{3}a-10
Multiply -2 and \frac{1}{3} to get \frac{-2}{3}.
\frac{1}{9}a^{2}+\frac{5}{3}a-\frac{2}{3}a-10
Fraction \frac{-2}{3} can be rewritten as -\frac{2}{3} by extracting the negative sign.
\frac{1}{9}a^{2}+a-10
Combine \frac{5}{3}a and -\frac{2}{3}a to get a.
\frac{1}{3}a\times \frac{1}{3}a+\frac{1}{3}a\times 5-2\times \frac{1}{3}a-10
Apply the distributive property by multiplying each term of \frac{1}{3}a-2 by each term of \frac{1}{3}a+5.
\frac{1}{3}a^{2}\times \frac{1}{3}+\frac{1}{3}a\times 5-2\times \frac{1}{3}a-10
Multiply a and a to get a^{2}.
\frac{1\times 1}{3\times 3}a^{2}+\frac{1}{3}a\times 5-2\times \frac{1}{3}a-10
Multiply \frac{1}{3} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.
\frac{1}{9}a^{2}+\frac{1}{3}a\times 5-2\times \frac{1}{3}a-10
Do the multiplications in the fraction \frac{1\times 1}{3\times 3}.
\frac{1}{9}a^{2}+\frac{5}{3}a-2\times \frac{1}{3}a-10
Multiply \frac{1}{3} and 5 to get \frac{5}{3}.
\frac{1}{9}a^{2}+\frac{5}{3}a+\frac{-2}{3}a-10
Multiply -2 and \frac{1}{3} to get \frac{-2}{3}.
\frac{1}{9}a^{2}+\frac{5}{3}a-\frac{2}{3}a-10
Fraction \frac{-2}{3} can be rewritten as -\frac{2}{3} by extracting the negative sign.
\frac{1}{9}a^{2}+a-10
Combine \frac{5}{3}a and -\frac{2}{3}a to get a.
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}