# How to Multiply Expressions in Algebra

## Multiplying Expressions in Algebra

Expressions can be multiplied.

Imagine we wanted to multiply the expressions x + 1 and 3 − y.

## How to Multiply Expressions in Algebra

Multiplying expressions in algebra is easy.

### Question

Multiply the expressions below.

# 1

Put brackets around each expression and write them next to each other.

# 2

Use the FOIL method to expand the brackets.

 x2 Firsts $$\:\:\:\:\:\:\:\:\:\:\:\:$$ (x + 1)(x + 2) $$\:\:\:\:\:\:\:\:\:\:\:\:$$ x × x x2 + 2x Outsides $$\:\:\:\:\:\:$$ (x + 1)(x + 2) $$\:\:\:\:\:\:\:\:\:\:\:\:$$ x × 2 x2 + 2x + x Insides $$\:\:\:\:\:\:\:\:\:$$ (x + 1)(x + 2) $$\:\:\:\:\:\:\:\:\:\:\:\:$$ 1 × x x2 + 2x + x + 2 Lasts $$\:\:\:\:\:\:\:\:\:\:\:\:$$ (x + 1)(x + 2) $$\:\:\:\:\:\:\:\:\:\:\:\:$$ 1 × 2

# 3

Simplify the expression if necessary by collecting like terms together. In our example, we can collect the x terms together.

x2 + 2x + x + 2 = x2 + 3x + 2