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 applies when you have a square term subtracted from another square term.

Front

Factor the expression: 25x² - 81

Back

(5x + 9)(5x - 9)

Front

Factor the expression: x² - 9

Back

(x + 3)(x - 3)

Front

Factor the expression: r² - 9t²

Back

(r + 3t)(r - 3t)

Front

Can x² + 81 be factored using Difference of Squares?

Back

No, it cannot be factored using Difference of Squares.

Front

Factor the expression: 4a² - 25

Back

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

Front

What types of expressions can be factored using the Difference of Squares?

Back

Expressions that can be written in the form a² - b², where both a and b are perfect squares.

Front

Is 16 - x² a Difference of Squares?

Back

Yes, it can be factored as (4 + x)(4 - x).

Front

What is a perfect square?

Back

A perfect square is an integer that is the square of another integer, e.g., 1, 4, 9, 16, etc.

Front

Factor the expression: 49y² - 36

Back

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