Evaluate
3b\left(b+2\right)
Expand
3b^{2}+6b
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-3b\left(2a-3b+6-3b-1-2a+5b-7\right)
To find the opposite of 3b+1, find the opposite of each term.
-3b\left(2a-6b+6-1-2a+5b-7\right)
Combine -3b and -3b to get -6b.
-3b\left(2a-6b+5-2a+5b-7\right)
Subtract 1 from 6 to get 5.
-3b\left(-6b+5+5b-7\right)
Combine 2a and -2a to get 0.
-3b\left(-b+5-7\right)
Combine -6b and 5b to get -b.
-3b\left(-b-2\right)
Subtract 7 from 5 to get -2.
3b^{2}+6b
Use the distributive property to multiply -3b by -b-2.
-3b\left(2a-3b+6-3b-1-2a+5b-7\right)
To find the opposite of 3b+1, find the opposite of each term.
-3b\left(2a-6b+6-1-2a+5b-7\right)
Combine -3b and -3b to get -6b.
-3b\left(2a-6b+5-2a+5b-7\right)
Subtract 1 from 6 to get 5.
-3b\left(-6b+5+5b-7\right)
Combine 2a and -2a to get 0.
-3b\left(-b+5-7\right)
Combine -6b and 5b to get -b.
-3b\left(-b-2\right)
Subtract 7 from 5 to get -2.
3b^{2}+6b
Use the distributive property to multiply -3b by -b-2.
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}