MHB How Can I Simplify This Complex Mathematical Expression?

[headbang]

Hello,
I am having difficulty solving my math problems.

Simplify the Expression and show how.. And kalkulate

z²+w(2wz)²-(w+4z²-1)w³-(z+w²)(x-w²)

And w=2

I know we have many ways doing it, an the more ways i can study, the bether i can understand this..

 

[mathmari]

Hello,
I am having difficulty solving my math problems.

Simplify the Expression and show how.. And kalkulate

z²+w(2wz)²-(w+4z²-1)w³-(z+w²)(x-w²)

And w=2

I know we have many ways doing it, an the more ways i can study, the bether i can understand this..

Do you maybe mean:

$z^2+w(2wz)^2-(w+4z^2-1)w^3-(z+w^2)($z$-w^2)$

($z$ instead of $x$) ?? (Wondering)

If so, it is as followed:

$$z^2+w(2wz)^2-(w+4z^2-1)w^3-(z+w^2)(z-w^2) \\ =z^2+w 4 w^2 z^2-ww^3-4z^2w^3+w^3-(z^2-zw^2+zw^2-w^4) \\ =z^2+4 w^3 z^2-w^4-4z^2w^3+w^3-(z^2-w^4) \\ =z^2-w^4+w^3-z^2+w^4=w^3$$

For $w=2$ we have

$$2^3=8$$

 

[headbang]

You are so good.. You solved it even if i can't read and Write the right Expression... :)

 

[topsquark]

You are so good.. You solved it even if i can't read and Write the right Expression... :)

I suspect that MHB is conducting secret genetic experimentation on some members to promote psychic abilities.

-Dan