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# Help me please i really need help

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plz help me solve this problem Assuming that$$3u + 12v\neq0$$ , simplify $$\dfrac{12u^3 + 48u^2v}{3u+12v}$$ . Can you give me a step by step explanation

Jun 19, 2020

#1
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Factor the top term and bottom to get:

$$\frac{12u^2(u+4v)}{3(u+4v)}$$

Now we can cancel out the term (u+4v) since the problem tells us that this doesn't equal 0 (division by 0 is undefined)

$$\frac{12u^2}{3}$$

Now simplify to get:

$$4u^2$$

Jun 19, 2020
#2
+135
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thank you so much!!!

Jun 19, 2020