Distribution and Factoring

Front

What is factoring in mathematics?

Back

Factoring is the process of breaking down an expression into simpler components, or factors, that when multiplied together give the original expression.

Front

What does it mean to distribute in mathematics?

Back

Distributing means to multiply a single term by each term inside a set of parentheses.

Front

Factor the expression: 4x + 30y

Back

2(2x + 15y)

Front

Simplify the expression: 5(2 - 7n)

Back

10 - 35n

Front

Factor the expression: 12x - 20

Back

4(3x - 5)

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute the multiplication over addition.

Front

Distribute: 12(3 - 4x)

Back

36 - 48x

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: 6x + 9

Back

3(2x + 3)

Front

What is the result of distributing 2(c - 8)?

Back

2c - 16