Expanding and Factoring Expressions

Front

What is the process of factoring an expression?

Back

Factoring an expression involves rewriting it as a product of its factors, which are simpler expressions that multiply together to give the original expression.

Front

Factor the expression: 16x + 24x²

Back

8x(2 + 3x)

Front

What does it mean to expand an expression?

Back

Expanding an expression means to multiply out the factors and simplify it into a sum or difference of terms.

Front

Expand the expression: -9(2g - 3)

Back

-18g + 27

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term inside a parenthesis.

Front

Which expression is equivalent to 5(2x + 6)?

Back

10x + 30

Front

Factor in simplest form: 6x + 12

Back

6(x + 2)

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 completely: 12x + 8y - 4z

Back

4(3x + 2y - z)

Front

What is the difference between factoring and expanding?

Back

Factoring breaks down an expression into simpler components, while expanding combines factors into a single expression.