Difference of Squares

Front

What is the Difference of Squares formula?

Back

The Difference of Squares formula states that a^2 - b^2 = (a - b)(a + b).

Front

How do you identify a difference of squares in an expression?

Back

An expression is a difference of squares if it can be written in the form a^2 - b^2, where both a and b are perfect squares.

Front

Factor the expression 25x^4 - 81y^2 using the Difference of Squares. What are the factors?

Back

(5x^2 + 9y)(5x^2 - 9y).

Front

What are the factors of 9c^2 - 100 using the Difference of Squares?

Back

(3c - 10)(3c + 10).

Front

How can you factor 81c^2 - 100 using the Difference of Squares?

Back

(9c - 10)(9c + 10).

Front

What is the result of factoring 81 - 400q^2 using the Difference of Squares?

Back

(9 - 20q)(9 + 20q).

Front

Factor the expression 16r^2 - 196 using the Difference of Squares. What are the factors?

Back

(4r - 14)(4r + 14).

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 a^2 + 2ab + b^2 = (a + b)^2.

Front

What is the relationship between the Difference of Squares and factoring polynomials?

Back

The Difference of Squares is a specific case of factoring polynomials where the expression is in the form of a^2 - b^2.

Front

Can the Difference of Squares be applied to expressions with variables?

Back

Yes, the Difference of Squares can be applied to expressions with variables as long as they can be expressed as a^2 - b^2.