\left. \begin{array} { l } { x ^ { 3 } + 2 p x ^ { 2 } + 8 x + x ^ { 2 } + 2 p x } \\ { x ^ { 3 } + ( 2 p + 1 ) x ^ { 2 } + ( p + 8 ) x + 4 } \end{array} \right.
Least Common Multiple
x\left(x^{5}+4px^{4}+2x^{4}+4p^{2}x^{3}+7px^{3}+17x^{3}+35px^{2}+20x^{2}+2xp^{2}+32px+68x+6\left(px\right)^{2}+8p+32\right)
Evaluate
x\left(x^{2}+2px+x+2p+8\right),\ \left(2p+1\right)x^{2}+x\left(p+8\right)+x^{3}+4
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x\left(x^{5}+4px^{4}+2x^{4}+4p^{2}x^{3}+7px^{3}+17x^{3}+6p^{2}x^{2}+35px^{2}+20x^{2}+2xp^{2}+32px+68x+8p+32\right)
Identify all the factors and their highest power in all expressions. Multiply the highest powers of these factors to get the least common multiple.
x^{6}+4px^{5}+2x^{5}+4p^{2}x^{4}+7px^{4}+17x^{4}+6p^{2}x^{3}+35px^{3}+20x^{3}+2p^{2}x^{2}+32px^{2}+68x^{2}+8px+32x
Expand the expression.
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}