\left. \begin{array} { l } { 6 x ^ { 5 } + 4 x ^ { 4 } - 3 x ^ { 3 } - 1 \text { by } 1 - x + 3 x ^ { 2 } } \\ { 8 y ^ { 4 } + 14 y ^ { 3 } - 2 y ^ { 2 } + 7 y - 8 \text { by } 4 y ^ { 2 } } \end{array} \right.
Least Common Multiple
y\left(8y^{3}-32by^{2}+14y^{2}-2y+7\right)\left(by+x-3x^{2}+3x^{3}-4x^{4}-6x^{5}\right)
Evaluate
6x^{5}+4x^{4}-3x^{3}+3x^{2}-x-by,\ y\left(8y^{3}-32by^{2}+14y^{2}-2y+7\right)
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y\left(8y^{3}-32by^{2}+14y^{2}-2y+7\right)\left(by+x-3x^{2}+3x^{3}-4x^{4}-6x^{5}\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.
-32x^{4}y^{4}+24x^{3}y^{4}-96bx^{3}y^{3}+42x^{3}y^{3}-24x^{2}y^{4}+96bx^{2}y^{3}-42x^{2}y^{3}+6x^{2}y^{2}+8xy^{4}-32bxy^{3}+14xy^{3}-2xy^{2}+7xy+8by^{5}-48y^{4}x^{5}-32b^{2}y^{4}+14by^{4}+192by^{3}x^{5}-84y^{3}x^{5}+128by^{3}x^{4}-56y^{3}x^{4}-2by^{3}+12y^{2}x^{5}+8y^{2}x^{4}-6y^{2}x^{3}+7by^{2}-42yx^{5}-28yx^{4}+21yx^{3}-21yx^{2}
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}