Evaluate
\left(b+2\right)\left(b+5\right)\left(b+9\right)
Expand
b^{3}+16b^{2}+73b+90
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b^{3}+9b^{2}+7b\left(b+9\right)+10\left(b+9\right)
Use the distributive property to multiply b^{2} by b+9.
b^{3}+9b^{2}+7b^{2}+63b+10\left(b+9\right)
Use the distributive property to multiply 7b by b+9.
b^{3}+16b^{2}+63b+10\left(b+9\right)
Combine 9b^{2} and 7b^{2} to get 16b^{2}.
b^{3}+16b^{2}+63b+10b+90
Use the distributive property to multiply 10 by b+9.
b^{3}+16b^{2}+73b+90
Combine 63b and 10b to get 73b.
b^{3}+9b^{2}+7b\left(b+9\right)+10\left(b+9\right)
Use the distributive property to multiply b^{2} by b+9.
b^{3}+9b^{2}+7b^{2}+63b+10\left(b+9\right)
Use the distributive property to multiply 7b by b+9.
b^{3}+16b^{2}+63b+10\left(b+9\right)
Combine 9b^{2} and 7b^{2} to get 16b^{2}.
b^{3}+16b^{2}+63b+10b+90
Use the distributive property to multiply 10 by b+9.
b^{3}+16b^{2}+73b+90
Combine 63b and 10b to get 73b.
Examples
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{ 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}