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Least Common Multiple
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x^{4}-3x^{3}+8x-24=\left(x-3\right)\left(x+2\right)\left(x^{2}-2x+4\right)
Factor the expressions that are not already factored.
\left(x-3\right)\left(x+2\right)\left(x^{2}-2x+4\right)\left(29x^{2}y^{2}+9x+25y^{4}\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.
9x^{5}+25x^{4}y^{4}-27x^{4}-75x^{3}y^{4}-696x^{2}y^{2}+72x^{2}+200xy^{4}-216x-600y^{4}+29y^{2}x^{6}-87y^{2}x^{5}+232y^{2}x^{3}
Expand the expression.