Question

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

Answer 1

`\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`

Answer 2

`\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`