\left. \begin{array} { l } { 4 x - 3 y + 3 a - 8 z + 4 b - 9 a } \\ { 9 x + 4 y + 4 a - 3 z + 3 b + 8 c } \\ { y + 8 x - 4 a - 3 y + 5 b + 6 c } \end{array} \right.
Least Common Multiple
\left(4x-3y-8z+4b-6a\right)\left(8x-2y+5b+6c-4a\right)\left(9x+4y-3z+3b+4a+8c\right)
Evaluate
4x-3y-8z+4b-6a,\ 9x+4y-3z+3b+4a+8c,\ 8x-2y+5b+6c-4a
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\left(4x-3y-8z+4b-6a\right)\left(8x-2y+5b+6c-4a\right)\left(9x+4y-3z+3b+4a+8c\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.
288x^{3}+472cx^{2}+564bx^{2}-448ax^{2}+704bcx-74xy^{2}-322cxy-168axy-95bxy-16xyz+192xz^{2}+224axz-1016cxz-708bxz+192xc^{2}+336xb^{2}-740acx-398abx-40xa^{2}+24y^{3}+120ay^{2}-74by^{2}-24cy^{2}-204aby-142bcy-24acy-160yx^{2}-48yz^{2}+120ayz-43byz-10cyz+11yb^{2}+192ya^{2}-144yc^{2}+120bz^{2}+144cz^{2}-96az^{2}+74abz+172acz+46zy^{2}+56za^{2}-536bcz-672zx^{2}-384zc^{2}-180zb^{2}+48ca^{2}+192bc^{2}+232cb^{2}-380abc-288ac^{2}-112ba^{2}-58ab^{2}+60b^{3}+96a^{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}