\left. \begin{array} { l } { ( 4 x ^ { 2 } + 4 x + 1 ) \text { by } ( 2 x + 1 ) } \\ { ( 8 x ^ { 2 } - 18 y ^ { 2 } ) \text { by } ( 2 x - 3 y ) } \end{array} \right.
Least Common Multiple
2by\left(2x+3y\right)\left(2x-3y\right)^{2}\left(2x+1\right)^{3}
Evaluate
by\left(2x+1\right)^{3},\ 2by\left(2x+3y\right)\left(2x-3y\right)^{2}
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2by\left(2x+3y\right)\left(2x-3y\right)^{2}\left(2x+1\right)^{3}
Identify all the factors and their highest power in all expressions. Multiply the highest powers of these factors to get the least common multiple.
432bx^{3}y^{4}-432bx^{3}y^{3}+648bx^{2}y^{4}-216bx^{2}y^{3}-24bx^{2}y^{2}+324bxy^{4}-36bxy^{3}+54by^{4}-288by^{3}x^{4}-192by^{2}x^{5}-288by^{2}x^{4}-144by^{2}x^{3}+128byx^{6}+192byx^{5}+96byx^{4}+16byx^{3}
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}