factorise the following 5x – 5y – ax + ay

The given expression is:

\[
5x - 5y - ax + ay
\]

To factor this expression, we can group the terms and factor out common factors from each group.

Step 1: Group the terms:
\[
(5x - 5y) - (ax - ay)
\]

Step 2: Factor out the common terms from each group:
\[
5(x - y) - a(x - y)
\]

Step 3: Notice that \( (x - y) \) is a common factor. So, factor it out:
\[
(5 - a)(x - y)
\]

Thus, the factorized form is:

\[
(5 - a)(x - y)
\]

Would you like further explanation or details?

Here are 5 related questions to consider:
1. How do you factor more complex algebraic expressions?
2. What is the distributive property in algebra?
3. Can you explain how to factor expressions with three or more terms?
4. How does grouping terms help in factoring?
5. What strategies can be used when no common factor exists between terms?

**Tip:** Always look for common factors in groups of terms to simplify factoring.

Factorise the following: 5x – 5y – ax + ay

Learn how to factor the algebraic expression 5x – 5y – ax + ay by grouping terms. This step-by-step solution is suitable for students in Grades 8-10, covering key algebraic concepts like factoring and recognizing common factors.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation