Evaluate
\left(x+6\right)\left(3x+11\right)
Expand
3x^{2}+29x+66
Graph
Share
Copied to clipboard
x^{2}+9x+4x+36+\left(2x+10\right)\left(x+3\right)
Apply the distributive property by multiplying each term of x+4 by each term of x+9.
x^{2}+13x+36+\left(2x+10\right)\left(x+3\right)
Combine 9x and 4x to get 13x.
x^{2}+13x+36+2x^{2}+6x+10x+30
Apply the distributive property by multiplying each term of 2x+10 by each term of x+3.
x^{2}+13x+36+2x^{2}+16x+30
Combine 6x and 10x to get 16x.
3x^{2}+13x+36+16x+30
Combine x^{2} and 2x^{2} to get 3x^{2}.
3x^{2}+29x+36+30
Combine 13x and 16x to get 29x.
3x^{2}+29x+66
Add 36 and 30 to get 66.
x^{2}+9x+4x+36+\left(2x+10\right)\left(x+3\right)
Apply the distributive property by multiplying each term of x+4 by each term of x+9.
x^{2}+13x+36+\left(2x+10\right)\left(x+3\right)
Combine 9x and 4x to get 13x.
x^{2}+13x+36+2x^{2}+6x+10x+30
Apply the distributive property by multiplying each term of 2x+10 by each term of x+3.
x^{2}+13x+36+2x^{2}+16x+30
Combine 6x and 10x to get 16x.
3x^{2}+13x+36+16x+30
Combine x^{2} and 2x^{2} to get 3x^{2}.
3x^{2}+29x+36+30
Combine 13x and 16x to get 29x.
3x^{2}+29x+66
Add 36 and 30 to get 66.
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}