Square of a Difference Practice Test

Expand, factor, complete, and apply the identity (a−b)².

Square of a Difference Practice Test

This test has 20 questions

About This "Square of a Difference Practice Test"

The page develops the identity (a−b)² through expansion, reverse factoring, missing-term analysis, and numerical applications.

"Negative middle terms, coefficients greater than one, two-variable binomials, perfect-square trinomials, and mental computation."

Skills Covered

Negative middle terms, coefficients greater than one, two-variable binomials, perfect-square trinomials, and mental computation.

Key Ideas

  1. (a−b)²=a²−2ab+b².
  2. The last term stays positive because it is b².
  3. The middle coefficient is twice the product.
  4. Reverse the pattern to factor a perfect-square trinomial.

Common Mistakes to Avoid

Do not write a²−b², omit the factor 2, or make the final square negative.

Practice Format

Each question has four answer choices. The explanation shows the method, completes the work, states the conclusion, and explains why every distractor is incorrect.