# 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.

### Step-by-Step:

# 1

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

# 2

Use the FOIL method to expand the brackets.

x^{2} |
Firsts \(\:\:\:\:\:\:\:\:\:\:\:\:\) (x + 1)(x + 2) \(\:\:\:\:\:\:\:\:\:\:\:\:\) x × x |

x^{2} + 2x |
Outsides \(\:\:\:\:\:\:\) (x + 1)(x + 2) \(\:\:\:\:\:\:\:\:\:\:\:\:\) x × 2 |

x^{2} + 2x + x |
Insides \(\:\:\:\:\:\:\:\:\:\) (x + 1)(x + 2) \(\:\:\:\:\:\:\:\:\:\:\:\:\) 1 × x |

x^{2} + 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.

x^{2} **+ 2x + x** + 2 = x^{2} **+ 3x** + 2

### Answer:

We have multiplied the expressions.