Expanding and Factoring Expressions

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

Factor the expression: 12x + 8y - 4z

Back

4(3x + 2y - z)

Front

What does it mean to factor an expression?

Back

Factoring an expression means to break it down into simpler components (factors) that, when multiplied together, give the original expression.

Front

Use the distributive property to simplify: -2(6n + 3)

Back

-12n - 6

Front

Factor the expression: 16x + 24x²

Back

8x(2 + 3x)

Front

What is a common factor?

Back

A common factor is a number or expression that divides two or more numbers or expressions evenly.

Front

Factor the expression: -8x - 10

Back

-2(4x + 5)

Front

What is the result of applying the distributive property to 5(2x + 6)?

Back

10x + 30

Front

What is the first step in factoring an expression?

Back

Identify the greatest common factor (GCF) of the terms in the expression.

Front

Simplify the expression: 3(4x + 2) - 2(2x + 1)

Back

10x + 1