Evaluate
\left(x+2\right)\left(3x^{2}+7x+11\right)
Expand
3x^{3}+13x^{2}+25x+22
Graph
Quiz
Polynomial
5 problems similar to:
= ( x ^ { 2 } + 4 x + 4 ) ( 2 x + 3 ) + ( x + 2 ) ( x ^ { 2 } + 5 )
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2x^{3}+11x^{2}+20x+12+\left(x+2\right)\left(x^{2}+5\right)
Use the distributive property to multiply x^{2}+4x+4 by 2x+3 and combine like terms.
2x^{3}+11x^{2}+20x+12+x^{3}+5x+2x^{2}+10
Use the distributive property to multiply x+2 by x^{2}+5.
3x^{3}+11x^{2}+20x+12+5x+2x^{2}+10
Combine 2x^{3} and x^{3} to get 3x^{3}.
3x^{3}+11x^{2}+25x+12+2x^{2}+10
Combine 20x and 5x to get 25x.
3x^{3}+13x^{2}+25x+12+10
Combine 11x^{2} and 2x^{2} to get 13x^{2}.
3x^{3}+13x^{2}+25x+22
Add 12 and 10 to get 22.
2x^{3}+11x^{2}+20x+12+\left(x+2\right)\left(x^{2}+5\right)
Use the distributive property to multiply x^{2}+4x+4 by 2x+3 and combine like terms.
2x^{3}+11x^{2}+20x+12+x^{3}+5x+2x^{2}+10
Use the distributive property to multiply x+2 by x^{2}+5.
3x^{3}+11x^{2}+20x+12+5x+2x^{2}+10
Combine 2x^{3} and x^{3} to get 3x^{3}.
3x^{3}+11x^{2}+25x+12+2x^{2}+10
Combine 20x and 5x to get 25x.
3x^{3}+13x^{2}+25x+12+10
Combine 11x^{2} and 2x^{2} to get 13x^{2}.
3x^{3}+13x^{2}+25x+22
Add 12 and 10 to get 22.
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}