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

 

[CellCoree]

Hello,

I completely understand that math can be challenging at times, but don't worry, we can work through this together. Let's start by simplifying the expression you provided:

z² + w(2wz)² - (w + 4z² - 1)w³ - (z + w²)(x - w²)

First, let's substitute in the given value for w, which is 2:

z² + 2(2*2*z)² - (2 + 4z² - 1)2³ - (z + 2²)(x - 2²)

Next, we can simplify the exponents within the parentheses:

z² + 2(4z)² - (2 + 4z² - 1)8 - (z + 4)(x - 4)

Now, we can distribute the 8 within the second set of parentheses:

z² + 2(4z)² - 16 - 32z² + 8 - (z + 4)(x - 4)

Next, we can distribute the -1 within the first set of parentheses:

z² + 2(4z)² - 16 - 32z² + 8 - (z + 4)(x - 4)

Now, we can distribute the -1 within the first set of parentheses:

z² + 2(4z)² - 16 - 32z² + 8 - (z + 4)(x - 4)

Lastly, we can simplify the remaining terms and combine like terms:

z² + 32z² - 16 - 32z² + 8 - zx + 4z - 4x + 16

= 33z² - zx + 4z - 4x + 8

I hope this helps simplify the expression for you. Remember, there are many ways to approach and solve a math problem, so don't hesitate to try different methods until you find one that works best for you. Keep practicing and you will become more confident in your math skills. Good luck!