Special Products with Binomials

Front

What is the square of a binomial?

Back

The square of a binomial (a + b) is given by the formula (a + b)² = a² + 2ab + b².

Front

What is the product of (a + b)(a - b)?

Back

The product of (a + b)(a - b) is a² - b², known as the difference of squares.

Front

What is the expanded form of (x + 4)(x - 4)?

Back

The expanded form of (x + 4)(x - 4) is x² - 16.

Front

What is the formula for the square of a difference?

Back

The square of a difference (a - b) is given by the formula (a - b)² = a² - 2ab + b².

Front

What is the expanded form of (11 - x)²?

Back

The expanded form of (11 - x)² is x² - 22x + 121.

Front

What is the result of simplifying (x - 7)²?

Back

The result of simplifying (x - 7)² is x² - 14x + 49.

Front

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

Back

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

Front

What is the difference of squares formula?

Back

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

Front

How do you expand (x + y)²?

Back

To expand (x + y)², use the formula: (x + y)² = x² + 2xy + y².

Front

What is the result of (x + 3)(x + 3)?

Back

The result of (x + 3)(x + 3) is x² + 6x + 9.