Evaluate
-\frac{38b}{5}-\frac{83a}{10}
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-\frac{38b}{5}-\frac{83a}{10}
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-12.3a-15.6b+4\left(a+2b\right)
Use the distributive property to multiply -3 by 4.1a+5.2b.
-12.3a-15.6b+4a+8b
Use the distributive property to multiply 4 by a+2b.
-8.3a-15.6b+8b
Combine -12.3a and 4a to get -8.3a.
-8.3a-7.6b
Combine -15.6b and 8b to get -7.6b.
-12.3a-15.6b+4\left(a+2b\right)
Use the distributive property to multiply -3 by 4.1a+5.2b.
-12.3a-15.6b+4a+8b
Use the distributive property to multiply 4 by a+2b.
-8.3a-15.6b+8b
Combine -12.3a and 4a to get -8.3a.
-8.3a-7.6b
Combine -15.6b and 8b to get -7.6b.
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}