Difference of 2 squares

Front

What is the difference of two squares?

Back

The difference of two squares is a mathematical expression of the form a² - b², which can be factored into (a + b)(a - b).

Front

Factor the expression: 4x² - 25

Back

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

Front

Factor the expression: 25x² - 36y²

Back

(5x + 6y)(5x - 6y)

Front

Factor the expression: 121x² - 49

Back

(11x + 7)(11x - 7)

Front

Can the expression 49x² + 16 be factored?

Back

No, it does not factor (SUM of squares).

Front

Factor the expression: 4x²y² - 1

Back

(2xy + 1)(2xy - 1)

Front

What is the formula for the difference of two squares?

Back

a² - b² = (a + b)(a - b)

Front

Give an example of a difference of two squares.

Back

Example: 9 - 16 = 3² - 4² = (3 + 4)(3 - 4) = 7(-1) = -7.

Front

What type of expressions can be factored using the difference of two squares?

Back

Expressions that can be written in the form a² - b².

Front

Is the expression x² - 9 a difference of two squares?

Back

Yes, it can be factored as (x + 3)(x - 3).