https://file.aiquickdraw.com/mathbot/file/1728471341690grm4lw4b.jpg

The equation in the image is:

\[
(y + z)^2 (x - 1) = x + 1
\]

Would you like to solve this equation for a particular variable, or are you looking for a general solution or simplification? Let me know how you'd like to proceed.

### Related Questions:
1. How do you expand the expression \((y + z)^2\)?
2. What happens when you isolate \(x\) in the given equation?
3. Can you find solutions for \(x\) when \(y\) and \(z\) have specific values?
4. How can you analyze the nature of the solutions when dealing with nonlinear equations?
5. What methods are useful for solving quadratic equations like this one?

**Tip**: When working with complex equations, try substituting simple values for variables to observe how the equation behaves before solving it analytically.

Explore the step-by-step solution to the algebraic equation (y + z)^2(x - 1) = x + 1. This problem involves expanding polynomials and solving for variables. Suitable for students in Grades 9-12 who are studying polynomial and quadratic equations.

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