Objective: I can factor perfect square trinomials.

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.

You can use the free Mathway widget 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.

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You can use the free Mathway widget 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.

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