https://file.aiquickdraw.com/mathbot/file/1727876832194g71m206v.jpg

Let's solve the factorization problems shown in the image one by one:

31. \( 5a + 5b = 5( \square + \square ) \)
   \[
   5a + 5b = 5(a + b)
   \]

32. \( 3g + 9m = 3( \square + \square ) \)
   \[
   3g + 9m = 3(g + 3m)
   \]

33. \( 2a - 4 = 2( \square - \square ) \)
   \[
   2a - 4 = 2(a - 2)
   \]

34. \( 5r + 10 = 5( \square + \square ) \)
   \[
   5r + 10 = 5(r + 2)
   \]

35. \( 7b - 14 = 7( \square - \square ) \)
   \[
   7b - 14 = 7(b - 2)
   \]

36. \( 4ab + 8b = 4b( \square + \square ) \)
   \[
   4ab + 8b = 4b(a + 2)
   \]

37. \( 3xy - 9x = 3x( \square - \square ) \)
   \[
   3xy - 9x = 3x(y - 3)
   \]

38. \( 5pq + 10p = 5p( \square + \square ) \)
   \[
   5pq + 10p = 5p(q + 2)
   \]

39. \( 13p - ap = p( \square - \square ) \)
   \[
   13p - ap = p(13 - a)
   \]

40. \( 17c + ac = c( \square + \square ) \)
   \[
   17c + ac = c(17 + a)
   \]

Would you like any further explanation on any of these steps?

Here are some related questions to deepen your understanding:

1. How do you identify the common factor in an expression before factoring?
2. Why is factoring important in solving algebraic equations?
3. How can you factor quadratic expressions using a similar method?
4. What happens when there is no common factor between terms?
5. How would you factor a trinomial like \(x^2 + 5x + 6\)?

**Tip:** When factoring, always start by identifying the greatest common factor (GCF) before breaking the expression down further.

Factorise the following expressions, as shown in the image.

Learn how to factor algebraic expressions using the distributive property. This guide provides step-by-step solutions for expressions like 5a + 5b, 3g + 9m, and more. Suitable for Grades 6-8 students looking to improve their algebra skills.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation