Factor Difference of Squares

Front

What is the difference of squares?

Back

The difference of squares is a special factoring technique that applies to expressions in the form a² - b², which can be factored as (a + b)(a - b).

Front

Factor the expression: y² - 196

Back

(y + 14)(y - 14)

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: 121r² - 64t²

Back

(11r + 8t)(11r - 8t)

Front

What is a perfect square trinomial?

Back

A perfect square trinomial is an expression that can be factored into the square of a binomial, such as a² + 2ab + b² = (a + b)².

Front

Factor the expression: 121x² - 49

Back

(11x + 7)(11x - 7)

Front

What does it mean for an expression to be prime in factoring?

Back

An expression is considered prime if it cannot be factored into simpler expressions with integer coefficients.

Front

Factor the expression: 10x² + 15x - 5

Back

5(2x² + 3x - 1)

Front

What is the first step in factoring a polynomial?

Back

The first step is to look for a common factor in all the terms of the polynomial.

Front

Factor the expression: 16x² + 25

Back

Prime