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Factor each expression.$$3 x^{3}\left(x^{2}+3 x\right)^{2}-15 x\left(x^{2}+3 x\right)^{2}$$

3$x\left(x^{2}-5\right)\left(x^{2}+3 x\right)^{2}$

Calculus 3

Chapter 0

Algebra Reference

Section 6

Exponents

Functions of Several Variables

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Okay, so we see that we have an X squared plus three x to the power of tune common. So it's like factoring that out. So we're off off a three x cubed minus 15 and then between These determines we have a three accent common to attract that out. And it's also notice that's, um, between this factory. We have an X in common. We contract that out to have a X Times X three that's squared, and then we have a big factor out of three ex. You get eggs squared minus I'm 15. Divided by three is fun. Okay, so we can bring in our power here. So we get X squared expose three squared. And then we were three acts and an X squared minus five. Okay, so let's simplify what we have or combine like terms. We have X Times X squared times X. You can rewrite that as three x cubed exports three into part two, an X squared minus five

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