Difference of Squares

Front

What is the difference of squares?

Back

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

Front

Factor the expression: 16r² - 196.

Back

(4r - 14)(4r + 14)

Front

Is x² + 81 factorable?

Back

It's prime.

Front

Complete the rule: a² - b² = ?

Back

(a - b)(a + b)

Front

Factor the expression: 81 - 25w².

Back

(9 - 5w)(9 + 5w)

Front

Factor the expression: 4w² - 49.

Back

(2w - 7)(2w + 7)

Front

What is the formula for the difference of squares?

Back

a² - b² = (a - b)(a + b)

Front

Provide an example of a difference of squares: 36 - x².

Back

(6 - x)(6 + x)

Front

What are the conditions for an expression to be a difference of squares?

Back

It must be in the form a² - b², where both a and b are real numbers.

Front

Can the expression 9x² - 16 be factored?

Back

Yes, it factors to (3x - 4)(3x + 4).