https://file.aiquickdraw.com/mathbot/file/1726000744410ve3fch3q.jpg

Could you explain how they went from point to point

To explain how the transition from the left side to the right side of the equation was made:

**Starting Equation:**
\[
y + yx^2 = x^2
\]

**Step-by-Step Explanation:**

1. **Factor Out \( y \):**
   - On the left side of the equation, you have terms that both include \( y \). To simplify, factor \( y \) out from both terms:
   \[
   y + yx^2 = y(1 + x^2)
   \]

2. **Rewrite the Equation:**
   - Now the equation looks like this after factoring:
   \[
   y(1 + x^2) = x^2
   \]

This is exactly the transition shown in the image. 

Essentially, the step involves factoring \( y \) from the terms on the left side of the original equation.

Would you like more details or have any specific questions about this transformation? 

Here are some related questions that you might find useful:
1. How do you solve the equation \( y(1 + x^2) = x^2 \) for \( y \)?
2. What does factoring mean in algebra, and why is it useful?
3. Can you solve for \( x \) in terms of \( y \) from the given equation?
4. How can you verify if the transformation is correct?
5. What are some common factoring techniques in algebra?

**Tip:** When factoring, always look for common factors in all terms to simplify expressions effectively.

Could you explain how they went from point to point?

Understand how to transition from y + yx^2 = x^2 to y(1 + x^2) = x^2 by factoring out y. This explanation covers algebraic concepts of factoring and equation simplification, suitable for Grades 9-12.

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