[ \frac { a } { 2 } + \frac { 3 a } { 2 } ] \cdot ( \frac { 5 a - 4 a } { a } ]
Evaluate
2a
Expand
2a
Share
Copied to clipboard
\frac{a+3a}{2}\times \frac{5a-4a}{a}
Since \frac{a}{2} and \frac{3a}{2} have the same denominator, add them by adding their numerators.
\frac{4a}{2}\times \frac{5a-4a}{a}
Combine like terms in a+3a.
\frac{4a}{2}\times \frac{a}{a}
Combine 5a and -4a to get a.
\frac{4a}{2}\times 1
Cancel out a in both numerator and denominator.
\frac{4a}{2}
Express \frac{4a}{2}\times 1 as a single fraction.
2a
Divide 4a by 2 to get 2a.
\frac{a+3a}{2}\times \frac{5a-4a}{a}
Since \frac{a}{2} and \frac{3a}{2} have the same denominator, add them by adding their numerators.
\frac{4a}{2}\times \frac{5a-4a}{a}
Combine like terms in a+3a.
\frac{4a}{2}\times \frac{a}{a}
Combine 5a and -4a to get a.
\frac{4a}{2}\times 1
Cancel out a in both numerator and denominator.
\frac{4a}{2}
Express \frac{4a}{2}\times 1 as a single fraction.
2a
Divide 4a by 2 to get 2a.
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}