Factor 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 - 16

Back

(x - 4)(x + 4)

Front

What is the formula for factoring a difference of squares?

Back

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

Front

Factor the expression: x² - 25

Back

(x - 5)(x + 5)

Front

What is the result of factoring 4x² - 16?

Back

4(x - 2)(x + 2)

Front

Factor the expression: x² - 225

Back

(x - 15)(x + 15)

Front

What is the difference of squares for the expression 9x² - 49y⁶?

Back

(3x - 7y³)(3x + 7y³)

Front

What does it mean for an expression to be 'unfactorable'?

Back

An expression is 'unfactorable' if it cannot be expressed as a product of simpler expressions or factors.

Front

Factor the expression: x⁴ - 16

Back

(x² - 4)(x² + 4)

Front

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

Back

Identify the two square terms and apply the formula a² - b² = (a - b)(a + b).