Difference of Squares

Front

What is the Difference of Squares?

Back

The Difference of Squares is a mathematical concept that states that the difference between two squares can be factored into the product of two binomials. It is expressed as: a² - b² = (a + b)(a - b).

Front

Factor 9n² - 1

Back

(3n + 1)(3n - 1)

Front

Factor 4x² - 25

Back

(2x + 5)(2x - 5)

Front

Factor x² - 25

Back

(x + 5)(x - 5)

Front

Factor 49n² - 25

Back

(7n + 5)(7n - 5)

Front

Factor x² - 16

Back

(x + 4)(x - 4)

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 factor an expression?

Back

Factoring an expression means to break it down into simpler expressions (factors) that, when multiplied together, give the original expression.

Front

What is a perfect square?

Back

A perfect square is a number that can be expressed as the square of an integer, such as 1, 4, 9, 16, etc.

Front

What is the formula for factoring the Difference of Squares?

Back

The formula is a² - b² = (a + b)(a - b).