Question 52
What is the LCM of ($$8x^{3} + 80x^{2} + 200x$$) and ($$4x^{4} + 16x^{3} - 20x^{2}$$)?
Solution
$$8x^{3} + 80x^{2} + 200x$$ can be factorized as $$8x\left(x+5\right)^2$$.
$$4x^{4} + 16x^{3} - 20x^{2}$$ can be factorized as $$4x^2\left(x+5\right)\left(x-1\right)$$.
The LCM will be $$8x^2\left(x+5\right)^2\left(x-1\right)$$.
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