\left. \begin{array} { l } { ( 3 x - 1 ) ( 9 x 2 + 3 x + 1 ) } \\ { ( 5 p 2 + 3 ) ( 2504 - 15 n ) } \end{array} \right.
Least Common Multiple
675np_{2}x^{2}+405nx^{2}-112680p_{2}x^{2}-67608x^{2}+2025np_{2}xx_{2}+1215nxx_{2}-338040p_{2}xx_{2}-202824xx_{2}-675np_{2}x_{2}+112680p_{2}x_{2}-405nx_{2}+67608x_{2}-75np_{2}+12520p_{2}-45n+7512
Evaluate
\left(3x-1\right)\left(3x+9x_{2}+1\right),\ \left(2504-15n\right)\left(5p_{2}+3\right)
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675np_{2}x^{2}+405nx^{2}-112680p_{2}x^{2}-67608x^{2}+2025np_{2}xx_{2}+1215nxx_{2}-338040p_{2}xx_{2}-202824xx_{2}-675np_{2}x_{2}+112680p_{2}x_{2}-405nx_{2}+67608x_{2}-75np_{2}+12520p_{2}-45n+7512
Identify all the factors and their highest power in all expressions. Multiply the highest powers of these factors to get the least common multiple.
675np_{2}x^{2}+405nx^{2}-112680p_{2}x^{2}-67608x^{2}+2025np_{2}xx_{2}+1215nxx_{2}-338040p_{2}xx_{2}-202824xx_{2}-675np_{2}x_{2}+112680p_{2}x_{2}-405nx_{2}+67608x_{2}-75np_{2}-45n+12520p_{2}+7512
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}