**Related Topics & Worksheets:**

Factoring Perfect Square Trinomials

Factoring Trinomials

Objective: I can factor perfect square trinomials.

**What is a perfect square trinomial?**

A perfect square trinomial is of the form:

(ax)^{2} + 2abx + b^{2}

Take note that

- The first term and the last term are perfect squares
- The coefficient of the middle term is twice the square root of the last term multiplied by the square root of the coefficient of the first term.

When we factor a perfect square trinomial, we will get

(ax)^{2} + 2abx + b^{2} = (ax + b)^{2} or

(ax)^{2} **–** 2abx **+** b^{2} = (ax **–** b)^{2}

Read the lesson on Perfect Square Trinomials if you need more information.

**Printable Worksheets**

Factoring Trinomials (a = 1)

Factoring Trinomials (a > 1)

Factor Perfect Square Trinomials

**Online Worksheet**

Fill in all the gaps, then press "Check" to check your answers. Use the "Hint" button to get a free letter if an answer is giving you trouble. You can also click on the "[?]" button to get a clue. Note that you will lose points if you ask for hints or clues!

Try the free Mathway calculator and
problem solver below to practice various math topics. Try the given examples, or type in your own
problem and check your answer with the step-by-step explanations.

We hope that the free math worksheets have been helpful. We encourage parents and teachers to select the topics according to the needs of the child. For more difficult questions, the child may be encouraged to work out the problem on a piece of paper before entering the solution. We hope that the kids will also love the fun stuff and puzzles.

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.