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 distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing us to multiply a single term by two or more terms inside a parenthesis.

Front

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

Back

The product is ac + ad + bc + bd, obtained by applying the distributive property.

Front

Multiply: (x + 2)(x + 3)

Back

x^2 + 5x + 6.

Front

Multiply: (x - 4)(x + 4)

Back

x^2 - 16, a difference of squares.

Front

What is the formula for the difference of squares?

Back

The difference of squares formula is a^2 - b^2 = (a + b)(a - b).

Front

Multiply: (2x + 3)(x - 5)

Back

2x^2 - 7x - 15.

Front

What is the result of (x - 1)^2?

Back

x^2 - 2x + 1.

Front

Multiply: (3x - 2)(x + 4)

Back

3x^2 + 10x - 8.

Front

What is the result of (x + 5)(x - 5)?

Back

x^2 - 25, another example of the difference of squares.