Difference of Squares

Front

What is the difference of squares?

Back

The difference of squares is a mathematical identity that states: a² - b² = (a - b)(a + b). It represents the difference between the squares of two terms.

Front

Factor the expression: 25x² - 16.

Back

(5x - 4)(5x + 4)

Front

Factor the expression: 49y² - 36.

Back

(7y - 6)(7y + 6)

Front

What is the formula for factoring a difference of squares?

Back

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

Front

Factor the expression: x² - 64.

Back

(x - 8)(x + 8)

Front

Factor the expression: 100 - z².

Back

(10 - z)(10 + z)

Front

What does it mean if an expression cannot be factored as a difference of squares?

Back

It means the expression does not fit the form a² - b², and may be prime or require different factoring techniques.

Front

Factor the expression: 4a² - 25b².

Back

(2a - 5b)(2a + 5b)

Front

Factor the expression: 36x² - 49.

Back

(6x - 7)(6x + 7)

Front

What is a prime expression in the context of factoring?

Back

A prime expression is one that cannot be factored into simpler expressions over the integers.