Distributive property and factoring

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

Apply the distributive property: 3(x + 4)

Back

3x + 12

Front

Apply the distributive property: -2(5y - 3)

Back

-10y + 6

Front

What does factoring mean in mathematics?

Back

Factoring is the process of breaking down an expression into a product of simpler expressions or numbers.

Front

Factor the expression: x^2 + 5x + 6

Back

(x + 2)(x + 3)

Front

What is the result of applying the distributive property to 4(2 + 3x)?

Back

8 + 12x

Front

Apply the distributive property: -3(a + 4)

Back

-3a - 12

Front

Factor the expression: 2x^2 + 8x

Back

2x(x + 4)

Front

What is the result of applying the distributive property to -5(3x + 2y)?

Back

-15x - 10y

Front

Apply the distributive property: 7(2x - 3)

Back

14x - 21