( a + 1,2 a + 3 ) + 2 a ( a - 1,2 a - 1 )
Evaluate
\frac{15+a-2a^{2}}{5}
Expand
-\frac{2a^{2}}{5}+\frac{a}{5}+3
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2,2a+3+2a\left(a-1,2a-1\right)
Combine a and 1,2a to get 2,2a.
2,2a+3+2a\left(-0,2a-1\right)
Combine a and -1,2a to get -0,2a.
2,2a+3-0,4a^{2}-2a
Use the distributive property to multiply 2a by -0,2a-1.
0,2a+3-0,4a^{2}
Combine 2,2a and -2a to get 0,2a.
2,2a+3+2a\left(a-1,2a-1\right)
Combine a and 1,2a to get 2,2a.
2,2a+3+2a\left(-0,2a-1\right)
Combine a and -1,2a to get -0,2a.
2,2a+3-0,4a^{2}-2a
Use the distributive property to multiply 2a by -0,2a-1.
0,2a+3-0,4a^{2}
Combine 2,2a and -2a to get 0,2a.
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}