# Functions and algebra: Manipulate and simplify algebraic expressions

### Subject outcome

Subject outcome 2.2: Manipulate and simplify algebraic expressions

### Learning outcomes

- Simplify algebraic fractions with monomial, binomial and trinomial denominators where two or more fractions are added, subtracted, divided or multiplied by each other.
- Manipulate and simplify algebraic expressions by completing the square.

### Unit 1 outcomes

By the end of this unit you will be able to:

- Multiply algebraic fractions using factorisation.
- Divide algebraic fractions using factorisation.

### Unit 2 outcomes

By the end of this unit you will be able to:

- Add algebraic fractions
- Subtract algebraic fractions with monomial, binomial and trinomial denominators.

### Unit 3 outcomes

By the end of this unit you will be able to:

- Manipulate and simplify algebraic expressions by completing the square.