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The image you uploaded contains an activity sheet focusing on the "Factoring the Difference of Two Squares." I can assist you in solving or understanding the problems presented. Here's a breakdown of the steps for factoring the difference of squares:

### Factoring the Difference of Two Squares
The general form is:

\[
a^2 - b^2 = (a + b)(a - b)
\]

This is because the product of two conjugates, \((a + b)(a - b)\), results in the difference of squares.

#### Let's go over the questions:

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### Part A: Identify if the expression is a difference of two squares and then factor.

1. \( x^2 - 36 \)
   - Yes, this is a difference of squares because \( x^2 \) and \( 36 \) (which is \( 6^2 \)) are both perfect squares.
   - Factored form: \( (x + 6)(x - 6) \)

2. \( 25x^2 - 16 \)
   - Yes, this is a difference of squares: \( (5x)^2 - 4^2 \)
   - Factored form: \( (5x + 4)(5x - 4) \)

3. \( y^2 + 49 \)
   -

The activity sheet asks students to factor the difference of two squares and determine whether given expressions fit this pattern.

Explore how to factor the difference of two squares with this math worksheet. Learn the key formula a^2 - b^2 = (a + b)(a - b) and apply it to a variety of algebraic expressions. Suitable for students in Grades 7-9.

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