https://file.aiquickdraw.com/mathbot/file/1729331224378lzv9ir74.jpg

Let's factorize each of the given expressions:

### a) \( p^2 + 7p \)
This expression has a common factor of \( p \):
\[
p^2 + 7p = p(p + 7)
\]

### b) \( x^2 + 4x \)
The common factor here is \( x \):
\[
x^2 + 4x = x(x + 4)
\]

### c) \( y^2 - 2y \)
The common factor is \( y \):
\[
y^2 - 2y = y(y - 2)
\]

### d) \( p^2 - 5p \)
The common factor is \( p \):
\[
p^2 - 5p = p(p - 5)
\]

### e) \( x^2 + x \)
The common factor is \( x \):
\[
x^2 + x = x(x + 1)
\]

These are the factorizations of each expression. Would you like more details or have any questions?

---

Here are 5 relative questions to expand on this:

1. What happens if there is no common factor to factorize?
2. How can you verify if the factorization is correct?
3. What are the common methods for factoring more complex quadratic expressions?
4. How can the distributive property help in understanding factorization?
5. What if one of the terms was a constant, how would it affect factorization?

**Tip:** When factorizing, always start by looking for the greatest common factor (GCF) before using more complex methods!

Factorise the following expressions:
a) p^2 + 7p
b) x^2 + 4x
c) y^2 - 2y
d) p^2 - 5p
e) x^2 + x

Learn how to factor quadratic expressions such as p^2 + 7p, x^2 + 4x, y^2 - 2y, and more. This problem focuses on algebraic factorization, perfect for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation