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 is the product of (a + b)(c + d)?

Back

The product is ac + ad + bc + bd, which is derived from the distributive property.

Front

What is the FOIL method?

Back

FOIL stands for First, Outside, Inside, Last; a method used to multiply two binomials.

Front

Find the product: (3x + 2)(2x + 4)

Back

6x² + 16x + 8

Front

Find the product: (x + 5)(x - 4)

Back

x² + 1x - 20

Front

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

Back

x² - 144

Front

What is the square of a binomial?

Back

The square of a binomial (a + b)² is a² + 2ab + b².

Front

Simplify: (x - 7)²

Back

x² - 14x + 49

Front

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

Back

x² - 49

Front

What is the difference of squares?

Back

The difference of squares is a² - b² = (a - b)(a + b).