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

Expand the double brackets.

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

Answer:

We have multiplied the expressions.

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See Also

What is algebra? What is an expression? What is a term? Expanding brackets Expanding double brackets What is the FOIL method? Collecting like terms