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Perfect Square Trinomial Calculator

Get detailed solutions to your math problems with our Perfect Square Trinomial step-by-step calculator. Practice your math skills and learn step by step with our math solver. Check out all of our online calculators here.

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Example

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1

Solved example of perfect square trinomial

$4x^2-12x+9$
2

The trinomial $4x^2-12x+9$ is a perfect square trinomial, because it's discriminant is equal to zero

$\Delta=b^2-4ac=-12^2-4\left(4\right)\left(9\right) = 0$
3

Using the perfect square trinomial formula

$a^2+2ab+b^2=(a+b)^2,\:where\:a=\sqrt{4x^2}\:and\:b=\sqrt{9}$
4

Factoring the perfect square trinomial

$\left(2x-3\right)^{2}$

Final Answer

$\left(2x-3\right)^{2}$

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