Simplifying Rational Expression

[spacewater]

(2x^2)^3/2 / (2^1/2) x^4

x^-3 . x^1/2 / x^3/2 . x^-1


I can't figure out the steps even with the correct answer in the book.

One for factoring
(x+2)^3- y^3

Can someone who isn't too busy give me the steps to solve these problems? Thanks

 

[galactus]

\(\displaystyle (x+2)^{3}- y^{3}\)

Difference of two cubes: \(\displaystyle x^{3}-y^{3}=(x-y)(x^{2}+xy+y^{2})\)

Just plug in your values.

 

[spacewater]

I still dont understand how the answer comes out to (x + 2 - y) ( x^2 + 4x + 4 + xy + 2y + 2y^2)
Is anybody out there who isnt too busy elaborate this to me please

 

[Deleted member 4993]

I still dont understand how the answer comes out to (x + 2 - y) ( x^2 + 4x + 4 + xy + 2y + 2y^2)
Is anybody out there who isnt too busy elaborate this to me please

Galactus said - "plug in" --- do you understand the term plug in?

Did you plug in? What did you plug in for what?

Please show us what you get after plugging in.

 

[spacewater]

I was trying to multiply instead of plug in the whole time.
:lol:

and when I tried to plug in I was trying to plug the y WITH the negative sign... so the answer wasnt coming out as it should be. :mrgreen: