To factorise the expression \( 2b + 10 - 5ab - 15 \), let's follow the steps:

### 1. Group the terms:
\[
(2b - 5ab) + (10 - 15)
\]

### 2. Factor out the common factors:
- From the first group \( 2b - 5ab \), factor out \( b \):
\[
b(2 - 5a)
\]
- From the second group \( 10 - 15 \), factor out \( 5 \):
\[
5(2 - 3)
\]

### 3. Simplified form:
The final factorised form of the expression is:
\[
b(2 - 5a) + 5(-1)
\]

This expression does not factor further in a simpler form.

---

Would you like further details or have any questions?

Here are 5 related questions to expand your understanding:
1. How would you factorise an expression with three variables, such as \( 3abc + 6b + 9ac \)?
2. Can you apply the distributive property to simplify similar expressions like \( 4x + 12 - 6xy - 18 \)?
3. How do you factor quadratic expressions such as \( ax^2 + bx + c \)?
4. What method can be used to factor polynomials with more than four terms?
5. How can we recognise when an expression is prime and cannot be factorised?

**Tip:** Always group like terms first when factorising an expression to identify common factors easily.

Learn how to factorise the algebraic expression 2b + 10 - 5ab - 15 by grouping terms and factoring out common factors. This step-by-step guide covers key algebraic concepts such as the distributive property and factoring. 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