Answer:
[tex]\Rightarrow 6w^6+2w^8[/tex]
Step-by-step explanation:
Given: [tex]\dfrac{24w^{10}+8w^{12}}{4w^4}[/tex]
We need to divide it
First we factor numerator and denominator and cancel the like factor from top and bottom.
[tex]24w^{10}\rightarrow 6\cdot 4\cdot w^{10}[/tex]
[tex]8w^{12}\rightarrow 2\cdot 4\cdot w^{10}\cdot w^2[/tex]
Now factor the numerator. Take out [tex]4w^{10}[/tex] common
[tex]\Rightarrow \dfrac{4w^{10}(6+2w^2)}{4w^4}[/tex]
cancel 4 and [tex]w^4[/tex]
[tex]\Rightarrow w^{6}(6+2w^2)[/tex]
We get
[tex]\Rightarrow 6w^6+2w^8[/tex]
Hence, The result of division is [tex]\Rightarrow 6w^6+2w^8[/tex]
