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<math>a^2+2ab+c^2=(a+c)^2</math> and<br />
<math>a^2-2ab+c^2=(a-c)^2</math><br />
For example:<br />
<math>4h^2-20h+25=(2h)^2-2(2h)(5)+(5)^2=(2h-5)^2</math><br />
<math>100x^2+180xy+81y^2=(10x)^2+2(10x)(9y)+(9y)^2=(10x+9y)^2</math><br />
<br /><br />
==Polynomials with 4 terms==
Polynomials with 4 terms can be factored by grouping. There are special groupings but the most common form is described step by step below.
Example: <math>a^2-3ab+4ac-12bc</math><br />
'''Step 1''' Split the polynomial into groups of 2 terms.<br />
<math>(a^2-3ab)+(4ac-12bc)</math>
==References==
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