Objective: I can factor perfect square trinomials.

**What is a perfect square trinomial?**

A perfect square trinomial is of the form:

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

Take note that

1. The first term and the last term are perfect squares

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

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

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

**Perfect Square Trinomial Calculator**

Enter the perfect square trinomial and select factor

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

A perfect square trinomial is of the form:

(

Take note that

1. The first term and the last term are perfect squares

2. 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

(

(

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

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!

Enter the perfect square trinomial and select factor

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other 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.