Evaluate
\frac{a\left(a+b+20\right)}{20}
Expand
\frac{ab}{20}+\frac{a^{2}}{20}+a
Quiz
Algebra
5 problems similar to:
a ( \frac { a } { 20 } + 1 ) + b \{ ( \frac { a } { 20 } + 1 ) - 1 \}
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a\left(\frac{a}{20}+\frac{20}{20}\right)+b\left(\frac{a}{20}+1-1\right)
To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{20}{20}.
a\times \frac{a+20}{20}+b\left(\frac{a}{20}+1-1\right)
Since \frac{a}{20} and \frac{20}{20} have the same denominator, add them by adding their numerators.
\frac{a\left(a+20\right)}{20}+b\left(\frac{a}{20}+1-1\right)
Express a\times \frac{a+20}{20} as a single fraction.
\frac{a\left(a+20\right)}{20}+b\times \frac{a}{20}
Subtract 1 from 1 to get 0.
\frac{a\left(a+20\right)}{20}+\frac{ba}{20}
Express b\times \frac{a}{20} as a single fraction.
\frac{a\left(a+20\right)+ba}{20}
Since \frac{a\left(a+20\right)}{20} and \frac{ba}{20} have the same denominator, add them by adding their numerators.
\frac{a^{2}+20a+ba}{20}
Do the multiplications in a\left(a+20\right)+ba.
a\left(\frac{a}{20}+\frac{20}{20}\right)+b\left(\frac{a}{20}+1-1\right)
To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{20}{20}.
a\times \frac{a+20}{20}+b\left(\frac{a}{20}+1-1\right)
Since \frac{a}{20} and \frac{20}{20} have the same denominator, add them by adding their numerators.
\frac{a\left(a+20\right)}{20}+b\left(\frac{a}{20}+1-1\right)
Express a\times \frac{a+20}{20} as a single fraction.
\frac{a\left(a+20\right)}{20}+b\times \frac{a}{20}
Subtract 1 from 1 to get 0.
\frac{a\left(a+20\right)}{20}+\frac{ba}{20}
Express b\times \frac{a}{20} as a single fraction.
\frac{a\left(a+20\right)+ba}{20}
Since \frac{a\left(a+20\right)}{20} and \frac{ba}{20} have the same denominator, add them by adding their numerators.
\frac{a^{2}+20a+ba}{20}
Do the multiplications in a\left(a+20\right)+ba.
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}