Special Products

Front

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

Back

x² - 9 (This is an example of the difference of squares.)

Front

How do you simplify (x - 7)²?

Back

x² - 14x + 49 (This is an application of the square of a binomial formula.)

Front

What is the expanded form of (x + 4)²?

Back

x² + 8x + 16 (This is an example of the square of a binomial.)

Front

What is the result of squaring the binomial (7r + 6)?

Back

49r² + 84r + 36 (This is an application of the square of a binomial formula.)

Front

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

Back

x² - 22x + 121 (This is an example of the square of a binomial.)

Front

What is the formula for the difference of squares?

Back

a² - b² = (a - b)(a + b) (This is used to factor expressions like (x - 3)(x + 3).)

Front

What is the formula for the square of a binomial?

Back

(a ± b)² = a² ± 2ab + b² (This is used to expand expressions like (x + 4)².)

Front

How do you factor x² - 9?

Back

(x - 3)(x + 3) (This is an example of factoring the difference of squares.)

Front

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

Back

x² - 14x + 49 (This is the same as (x - 7)².)

Front

What is the expanded form of (x + a)²?

Back

x² + 2ax + a² (This is the square of a binomial formula.)