\left. \begin{array} { l } { - ( 3 a x ^ { 3 } - 10 b x ^ { 2 } - 12 x ) + ( 13 a x ^ { 3 } + 10 b x ^ { 2 } - 12 x - 16 ) - \quad ( 3 a ) } \\ { ( a b ^ { 3 } - 5 b ^ { 2 } ) - 4 b z - ( 15 b ^ { 2 } - 15 ) } \end{array} \right.
Least Common Multiple
\left(16+3a-20bx^{2}-10ax^{3}\right)\left(15-20b^{2}+ab^{3}-4bz\right)
Evaluate
10ax^{3}+20bx^{2}-3a-16,\ 15-20b^{2}+ab^{3}-4bz
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\left(16+3a-20bx^{2}-10ax^{3}\right)\left(15-20b^{2}+ab^{3}-4bz\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.
-10a^{2}b^{3}x^{3}+200ab^{2}x^{3}-150ax^{3}-20ax^{2}b^{4}+400x^{2}b^{3}-300bx^{2}+40abzx^{3}+80zb^{2}x^{2}-12abz-64bz+3a^{2}b^{3}+16ab^{3}-60ab^{2}-320b^{2}+45a+240
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}