I need help with B, C, and D

[quartz lagoon]

What have you tried

I assume : means divide?

[rocky kettle]

: is a ratio.

Like 2 : 3 = 2/3.

!status

[winged plume]

What step are you on?
1. I don't know where to begin.
2. I have begun but got stuck midway.
3. I got an answer but I was told that it's wrong.
4. I got an answer and would like my work checked.
5. I have a question about someone else's work/solution.
6. I have completed the problem and don't need help anymore. Thank you.
7. None of the above

[gleaming vale]

Are you still there?

just in case

case b its an excercise with fractional exponents

on case c u can simplify the first parenthesis as (a-b)^3

and the right one can be factored in terms of (a-b)

case d u can try to simplify the fraction using difference of squares

[sick moat]

yo @drifting gale is the answer for C)

-(a-b)^2

if it is

then simplify first parentehsis as (a-b) the whole cube

then rearrange (b-a) as -(a-b)

take (a-b) as t

solve it

in the end you get -t^2

[spice ginkgo]

in c part

we can see that the first term is (a-b)^3

now open the brackets of second term

cubic term will get cancelled

only quadratic term is left

[drifting gale]

Im still here

[spice ginkgo]

try to follow these steps

[drifting gale]

Ok ill try

[drifting gale]

It is

[sick moat]

then do the steps i have instructed below and send a pic

il check whether the working is correct or not

[drifting gale]

Im lost

I dont know where to start for C

Im confused on how to simplify

[sick moat]

ok so

let's start with the first parentheses shall we

the expression inside the bracket is the expression for (a-b) ^3

once you do that

rearrange (b-a) as - (a-b)

then let the term (a-b) = some variable t

from there it's simple

try it

[drifting gale]

How did you get (a-b)^3

Thats my question firstly

[lavish lantern]

its because its an Remarkable identity