Factoring 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: 9x² - 49y⁶

Back

(3x - 7y³)(3x + 7y³)

Front

Fully factor the expression: 25x² - 81

Back

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

Front

What is the formula for factoring the difference of squares?

Back

a² - b² = (a - b)(a + b)

Front

Factor the expression: x² - 400

Back

(x - 20)(x + 20)

Front

Can the expression 16p³ - 81q⁶ be factored using the difference of squares?

Back

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

Front

Factor the expression: 36x² - 64

Back

4(3x - 4)(3x + 4)

Front

What is a prime expression in the context of factoring?

Back

A prime expression is one that cannot be factored into simpler expressions.

Front

Identify the components of the difference of squares: 64 - x².

Back

a = 8, b = x, so it factors to (8 - x)(8 + x).

Front

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

Back

Identify the two perfect squares in the expression.