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Divide (24w^10+8w^12)/(4w^4)

User Piva
by
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2 Answers

4 votes

\bf \cfrac{24w^(10)+8w^(12)}{4w^4}\impliedby \textit{distibuting the denominator} \\\\\\ \cfrac{24w^(10)}{4w^4}+\cfrac{8w^(12)}{4w^4}\implies 6w^(10)w^(-4)+2w^(12)w^(-4)\implies 6w^(10-4)+2w^(12-4) \\\\\\ 6w^6+2w^8
User Uncovery
by
7.8k points
2 votes

Answer:


\Rightarrow 6w^6+2w^8

Explanation:

Given:
(24w^(10)+8w^(12))/(4w^4)

We need to divide it

First we factor numerator and denominator and cancel the like factor from top and bottom.


24w^(10)\rightarrow 6\cdot 4\cdot w^(10)


8w^(12)\rightarrow 2\cdot 4\cdot w^(10)\cdot w^2

Now factor the numerator. Take out
4w^(10) common


\Rightarrow (4w^(10)(6+2w^2))/(4w^4)

cancel 4 and
w^4


\Rightarrow w^(6)(6+2w^2)

We get


\Rightarrow 6w^6+2w^8

Hence, The result of division is
\Rightarrow 6w^6+2w^8

User Pial Kanti
by
8.1k points

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