Multiplying Binomials

Front

What is a binomial?

Back

A binomial is a polynomial that contains exactly two terms, such as (a + b) or (x - 3).

Front

What does it mean to multiply binomials?

Back

Multiplying binomials involves using the distributive property to expand the product of two binomials, resulting in a polynomial.

Front

What is the formula for the square of a binomial?

Back

(a + b)² = a² + 2ab + b² and (a - b)² = a² - 2ab + b².

Front

Simplify: (p - 8)²

Back

p² - 16p + 64.

Front

Find the product: (x + 12)(x - 12)

Back

x² - 144.

Front

Simplify: (x - 9)(x - 7)

Back

x² - 16x + 63.

Front

Simplify: (x - 7)(x + 7)

Back

x² - 49.

Front

What is the difference of squares?

Back

The difference of squares is a special product that states a² - b² = (a - b)(a + b).

Front

Multiply: (r - 7)(2r + 8)

Back

2r² - 6r - 56.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac.