https://file.aiquickdraw.com/mathbot/file/17269392937990be1tuvf.jpg

The problem you're working on is asking to factorise the expression:

\[
13q^4 - 13pq^5r^5
\]

### Step-by-step Factorisation:

1. **Look for Common Factors**:
   - Both terms have a common factor of \(13q\), since \(13\) and \(q\) appear in both terms.

2. **Factor out the GCF**:
   - Factoring out \(13q\), we get:
   \[
   13q(q^3 - pq^4r^5)
   \]

This matches the result in the image, which is:

\[
13q(13q^3 - pq^4r^5)
\]

It looks like the answer shown includes an extra \(13\) inside the parentheses, which appears to be an error. The correct factorisation should be:

\[
13q(q^3 - pq^4r^5)
\]

### Do you want any further clarification or details?

Here are some related questions for further practice:
1. Factorise \( 5x^4 - 10x^2y \).
2. Factorise completely \( 2a^5 - 6a^3b^2 \).
3. Factor the expression \( 7m^6 - 14m^3n^2 \).
4. Find the greatest common factor of \( 8x^3 - 4x^5y^2 \).
5. Simplify \( 16q^4 - 64pq^3r^2 \).

**Tip**: Always look for the greatest common factor (GCF) first when factorising expressions!

Factorise the expression 13q^4 - 13pq^5r^5

Learn how to factorise the algebraic expression 13q^4 - 13pq^5r^5 by identifying common factors. This problem covers essential algebraic concepts like the distributive property and factorisation. 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