Expand
x^{4}+14x^{3}+71x^{2}+154x+121
Evaluate
\left(x+2\right)\left(x+3\right)\left(x+4\right)\left(x+5\right)+1
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\left(x^{2}+3x+2x+6\right)\left(x+4\right)\left(x+5\right)+1
Apply the distributive property by multiplying each term of x+2 by each term of x+3.
\left(x^{2}+5x+6\right)\left(x+4\right)\left(x+5\right)+1
Combine 3x and 2x to get 5x.
\left(x^{3}+4x^{2}+5x^{2}+20x+6x+24\right)\left(x+5\right)+1
Apply the distributive property by multiplying each term of x^{2}+5x+6 by each term of x+4.
\left(x^{3}+9x^{2}+20x+6x+24\right)\left(x+5\right)+1
Combine 4x^{2} and 5x^{2} to get 9x^{2}.
\left(x^{3}+9x^{2}+26x+24\right)\left(x+5\right)+1
Combine 20x and 6x to get 26x.
x^{4}+5x^{3}+9x^{3}+45x^{2}+26x^{2}+130x+24x+120+1
Apply the distributive property by multiplying each term of x^{3}+9x^{2}+26x+24 by each term of x+5.
x^{4}+14x^{3}+45x^{2}+26x^{2}+130x+24x+120+1
Combine 5x^{3} and 9x^{3} to get 14x^{3}.
x^{4}+14x^{3}+71x^{2}+130x+24x+120+1
Combine 45x^{2} and 26x^{2} to get 71x^{2}.
x^{4}+14x^{3}+71x^{2}+154x+120+1
Combine 130x and 24x to get 154x.
x^{4}+14x^{3}+71x^{2}+154x+121
Add 120 and 1 to get 121.
\left(x^{2}+3x+2x+6\right)\left(x+4\right)\left(x+5\right)+1
Apply the distributive property by multiplying each term of x+2 by each term of x+3.
\left(x^{2}+5x+6\right)\left(x+4\right)\left(x+5\right)+1
Combine 3x and 2x to get 5x.
\left(x^{3}+4x^{2}+5x^{2}+20x+6x+24\right)\left(x+5\right)+1
Apply the distributive property by multiplying each term of x^{2}+5x+6 by each term of x+4.
\left(x^{3}+9x^{2}+20x+6x+24\right)\left(x+5\right)+1
Combine 4x^{2} and 5x^{2} to get 9x^{2}.
\left(x^{3}+9x^{2}+26x+24\right)\left(x+5\right)+1
Combine 20x and 6x to get 26x.
x^{4}+5x^{3}+9x^{3}+45x^{2}+26x^{2}+130x+24x+120+1
Apply the distributive property by multiplying each term of x^{3}+9x^{2}+26x+24 by each term of x+5.
x^{4}+14x^{3}+45x^{2}+26x^{2}+130x+24x+120+1
Combine 5x^{3} and 9x^{3} to get 14x^{3}.
x^{4}+14x^{3}+71x^{2}+130x+24x+120+1
Combine 45x^{2} and 26x^{2} to get 71x^{2}.
x^{4}+14x^{3}+71x^{2}+154x+120+1
Combine 130x and 24x to get 154x.
x^{4}+14x^{3}+71x^{2}+154x+121
Add 120 and 1 to get 121.
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}