https://file.aiquickdraw.com/mathbot/file/17265355645315rvh2kft.jpg

I see you've uploaded an image showing a worksheet with several algebraic expressions under the title "Activity 1.12." It looks like you're dealing with various types of factorization problems. Here’s a breakdown of how some of the problems appear to be factored:

1. \( y^3 + 9y^2 \)
   - Factoring out \( y^2 \):
   \[
   y^2(y + 9)
   \]

2. \( 5x^2y^3 + 15x^3y^2 \)
   - Factoring out \( 5x^2y^2 \):
   \[
   5x^2y^2(y + 3x)
   \]

3. \( 12t^5 - 20t^4 + 8t^2 - 16 \)
   - Factor in pairs:
   \[
   4t^2(3t^3 - 5t^2 + 2) - 16
   \]

4. \( p^2 - 36 \)
   - Difference of squares:
   \[
   (p - 6)(p + 6)
   \]

5. \( 25 - x^2 \)
   - Difference of squares:
   \[
   (5 - x)(5 + x)
   \]

These problems involve factoring by common factors, difference of squares, grouping, and other standard algebraic methods. Would you like detailed solutions for specific problems, or are you looking for explanations on particular factoring techniques?

### Additional related questions:
1. How do you factor cubic polynomials like those in problems 1 and 2?
2. Can you explain how to recognize and factor the difference of squares?
3. What is the general approach to factoring quadratic trinomials?
4. How can factoring by grouping help with more complicated polynomials?
5. Are there any tricks to factoring expressions with higher-degree terms, like in problem 3?

**Tip**: Always start by looking for the greatest common factor (GCF) before applying other factoring techniques like the difference of squares or grouping.

Factor the algebraic expressions in Activity 1.12.

Learn how to factor various algebraic expressions from Activity 1.12. This problem covers key algebraic concepts like factoring the difference of squares, using the greatest common factor (GCF), and factoring by grouping. Suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation