Let's simplify the expression step by step:

Given expression:
\[
w(w - 5) + 5 - w
\]

1. Distribute \(w\) in the first term:
\[
w^2 - 5w + 5 - w
\]

2. Combine like terms \(-5w\) and \(-w\):
\[
w^2 - 6w + 5
\]

So, the simplified expression is:
\[
w^2 - 6w + 5
\]

Would you like more details on any of these steps or have any questions?

Here are 5 related questions you might find interesting:
1. How would you factor the quadratic expression \(w^2 - 6w + 5\)?
2. What are the roots of the equation \(w^2 - 6w + 5 = 0\)?
3. How would you complete the square for the expression \(w^2 - 6w + 5\)?
4. Can you graph the equation \(y = w^2 - 6w + 5\)?
5. What is the vertex of the parabola described by \(y = w^2 - 6w + 5\)?

**Tip:** Always check for like terms before starting to simplify; this can save time and help avoid mistakes.

Learn how to simplify the algebraic expression w(w - 5) + 5 - w step-by-step. This problem covers algebraic simplification, including distributing terms and combining like terms. Suitable for students in Grades 7-9.

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