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Perfect square trinomials are of the form <math>a^2+2ab+c^2</math> or <math>a^2-2ab+c^2</math><br />
<math>a^2+2ab+c^2=(a+c)^2</math> and<br />
<math>a^2-2ab+c^2=(a-c)^2</math><br /><br />
For example:<br />
<math>4h^2-20h+25=(2h)^2-2(2h)(5)+(5)^2=(2h-5)^2</math><br />
<br />or<br /><br />
<math>100x^2+180xy+81y^2=(10x)^2+2(10x)(9y)+(9y)^2=(10x+9y)^2</math><br />
<br /><br />
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