Difference of Two Squares

Front

What is the Difference of Two Squares?

Back

The Difference of Two Squares is a mathematical identity that states: a² - b² = (a + b)(a - b). It applies to any two squares.

Front

Factor the expression: y² - 196

Back

(y + 14)(y - 14)

Front

Factor the expression: 64x² - 49y²

Back

(8x + 7y)(8x - 7y)

Front

Factor the expression: 4x² - 16

Back

4(x + 2)(x - 2)

Front

Factor the expression: x² - 144

Back

(x + 12)(x - 12)

Front

Factor the expression: 64x² - 81y²

Back

(8x + 9y)(8x - 9y)

Front

What is the first step in factoring a Difference of Two Squares?

Back

Identify the two perfect squares in the expression.

Front

Give an example of a Difference of Two Squares.

Back

Example: 25 - 9 = 5² - 3² = (5 + 3)(5 - 3) = 8(2) = 16.

Front

What is a perfect square?

Back

A perfect square is a number that can be expressed as the square of an integer.

Front

How do you recognize a Difference of Two Squares?

Back

Look for an expression in the form a² - b², where both a and b are perfect squares.