Evaluate
\left(b-4\right)\left(b-3\right)\left(b+1\right)
Expand
b^{3}-6b^{2}+5b+12
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\left(b^{2}-3b+b-3\right)\left(b-4\right)
Apply the distributive property by multiplying each term of b+1 by each term of b-3.
\left(b^{2}-2b-3\right)\left(b-4\right)
Combine -3b and b to get -2b.
b^{3}-4b^{2}-2b^{2}+8b-3b+12
Apply the distributive property by multiplying each term of b^{2}-2b-3 by each term of b-4.
b^{3}-6b^{2}+8b-3b+12
Combine -4b^{2} and -2b^{2} to get -6b^{2}.
b^{3}-6b^{2}+5b+12
Combine 8b and -3b to get 5b.
\left(b^{2}-3b+b-3\right)\left(b-4\right)
Apply the distributive property by multiplying each term of b+1 by each term of b-3.
\left(b^{2}-2b-3\right)\left(b-4\right)
Combine -3b and b to get -2b.
b^{3}-4b^{2}-2b^{2}+8b-3b+12
Apply the distributive property by multiplying each term of b^{2}-2b-3 by each term of b-4.
b^{3}-6b^{2}+8b-3b+12
Combine -4b^{2} and -2b^{2} to get -6b^{2}.
b^{3}-6b^{2}+5b+12
Combine 8b and -3b to get 5b.
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}