\left. \begin{array} { l } { \text { (A) } 2 x - 3 y + 10 \text { ? (B) } 2 x - 3 y - 10 } \\ { \text { (C) } 2 x - 2 y + 5 \quad \text { (D) } 6 x - 43 y - 15 } \end{array} \right.
Least Common Multiple
2\left(2Cx+30Dx-45y-15\right)\left(Ax+10Bx-3y-5\right)
Evaluate
2\left(Ax+10Bx-3y-5\right),\ 2Cx+30Dx-45y-15
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2Ax-6y+20Bx-10=2\left(Ax+10Bx-3y-5\right)
Factor the expressions that are not already factored.
2\left(2Cx+30Dx-45y-15\right)\left(Ax+10Bx-3y-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.
4ACx^{2}+40BCx^{2}+60ADx^{2}+600BDx^{2}-900Bxy-180Dxy-90Axy-12Cxy-300Bx-300Dx-30Ax-20Cx+270y^{2}+540y+150
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}