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: x² - 25

Back

(x + 5)(x - 5)

Front

Can the expression 4x² + 9 be factored using the difference of squares?

Back

No, it cannot be factored using the difference of squares.

Front

Factor the expression: a² - 49

Back

(a + 7)(a - 7)

Front

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

Back

Identify the two square terms in the expression.

Front

Factor the expression: 16y² - 1

Back

(4y + 1)(4y - 1)

Front

Can the expression x² - 16y³ be factored using the difference of squares?

Back

No, it cannot be factored using the difference of squares.

Front

Factor the expression: m² - 36

Back

(m + 6)(m - 6)

Front

What types of expressions can be factored using the difference of squares?

Back

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

Front

Factor the expression: r² - 9t²

Back

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