Question

Help pls? c':

Divide. (6a^4 + 2a^3) ÷ 2a

@bibby ?

Answer 1

You can rewrite the fraction as \[\huge \frac{ 6a^4}{ 2a } +\frac{ 2a^3}{ 2a } \]

Answer 2

that's some interesting math you're working there
Start with the left hand side. What is a^4/a

You can rewrite it:\[\huge \frac{ a^4 }{ a }=\frac{ a*a*a*a }{ a }\]

Answer 3

Yeah. You can't add things with different exponents. it might help if you think of them as shapes or fruits. if a^4's are apples and a^3's are oranges

You can only add apples+apples. oranges+oranges. not oranges + apples

Answer 4

anyhow \[\huge \frac{ a^4 }{ a }=\frac{ \cancel a*a*a*a }{ \cancel a }\]

Answer 5

Okay, so now a^3? @bibby

Answer 6

that's not everything. We have the following: \[\huge \frac{ 6a^4}{ 2a } +\frac{ 2a^3}{ 2a }= \frac{ 6a^3}{ 2 } +\frac{ 2a^3}{ 2a }\]

Let's finish the left side. What is 6/2?

Answer 7

3 @bibby

Answer 8

:3
So\[\huge 3a^3 +\frac{ 2a^3}{ 2a }\]

What can we do with the right side?

Answer 9

divide? but could you put a 1 under 3a^3?

Answer 10

Do you want to add the two terms? You can't do that yet as they don't have common denominators.

Answer 11

I'm not sure @bibby

Answer 12

OK take \[\huge\frac{ 2a^3}{ 2a }\]alone
try simplifying that

Answer 13

4a^4?

Answer 14

wait

Answer 15

waiting

Answer 16

1a^3???

Answer 17

divide? I don't even know

Answer 18

yeah. you got it right. a^3

Answer 19

I'll write it out\[\huge\frac{ 2a^3}{ 2a }=\huge\frac{ \cancel 2a^{\cancel32}}{ \cancel2\cancel a }\]

Answer 20

actually you got it wrong, whoops

Answer 21

^2?

Answer 22

a^2 ***

Answer 23

Yeah. Recall the exponent division rule from earlier.
a^3/a= a^(3-1) = a^2

Answer 24

\[\huge 3a^3 +{ a^2}\]and we're done

Answer 25

You can factor out a^2 though:
a^2(3a + 1)

Answer 26

Ohhhh. Okay, I wasn't getting the exponent division rule. Thank you!