Question

simplify:
(2x(x+6)^2 - x^2(4)(x+6)^3)/(x+6)^8

Answer 1

first work with the numerator and inside parentheses

Answer 2

so i would pull out (x+6)^3?

Answer 3

We have :
You can divided same sentences and divided each on (x+6)^8
we have :(x+6)^2 and (x+6)^3 for divided .;)

Answer 4

so its (x+6)^2 numerator (x+6)^3 denominator?

Answer 5

would it just be (x+6)?

Answer 6

No ! I think !:)
Do you have a way ?
Can you write you way ?
@marissamtz

Answer 7

i don't know what you mean!

Answer 8

I get :
2x(1-2x)/(x+6)^3
@triciaal : Are you sure ???!
Your denominator should change !

Answer 9

Wait ...!

Answer 10

I tried entering your answer and its wrong @E.ali but idk why!

Answer 11

we have :
(2x(x+6)^2 - x^2(4)(x+6)^3)/(x+6)^8=(2x(x+6)^2 - 4x^2(x+6)^2(x+6))/(x+6)^8=
=((2x- 4x^2(x+6))(x+6)2)/(x+6)^8=2x-4x^2(x+6)/(x+6)^6=2x(1-2x(x+6)/(x+6)^6
I think answer is 2x(1-2x(x+6)/(x+6)^6

Answer 12

for me... I'd split the fraction

\[\frac{2x(x +6)^2}{(x + 6)^8} - \frac{4x^2(x+6)^3}{(x+6)^8}\]

simplify by removing common factors.

which results in

\[\frac{2x}{(x+6)^6} - \frac{4x^2}{(x + 6)^5}\]

you could put it over a common denominator by

\[\frac{2x}{(x+6)^6} - \frac{4x^2}{(x + 6)^5} \times \frac{(x + 6)}{(x + 6} = \frac{2x - 4x^2(x + 6)}{(x + 6)^6}\]

and it could be simplified further if necessary

Answer 13

Yea ! it s right ! you can factor 2x in : 2x-4x^2(x+6) in last ;)

Answer 14

factor out (x+6)^2
(x+6)^2[(2x-4x^2(x+6)]
(x+6)^2(2x-4x^3 +24x)


denominator (x+6)^8
simplify by dividing by (x+6)^2
(2x-4x^3-24x^2)/(x + 6)^6

Answer 15

!!!
Right !