Factor Difference of 2 Perfect Squares

Front

What is the difference of two perfect squares?

Back

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

Front

Factor the expression: 25x² - 36y²

Back

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

Front

Factor the expression: x⁴ - 100y²

Back

(x² + 10y)(x² - 10y)

Front

Factor the expression: x² - 25

Back

(x + 5)(x - 5)

Front

Factor the expression: 4x²y² - 1

Back

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

Front

Factor the expression: x² - 400

Back

(x - 20)(x + 20)

Front

What is a perfect square?

Back

A perfect square is a number that can be expressed as the square of an integer. For example, 1, 4, 9, 16, and 25 are perfect squares.

Front

What is the formula for factoring the difference of two squares?

Back

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

Front

Provide an example of a difference of two squares: 49 - 16

Back

(7 + 4)(7 - 4) = (11)(3) = 33.

Front

What is the first step in factoring a difference of two squares?

Back

Identify the two perfect squares in the expression.