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Instead of <math>7x</math>, write <math>6x^2-2x+9x-18</math><br />
'''Step 5'''
Factor by grouping.<br />
<math>(6x^2-2x)+(9x-3)</math><br />
<math>2x(3x-1)+3(3x-1)</math>
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Therefore <math>6x^2+7x-3=(3x-1)(2x+3)</math>
===Perfect Square Trinomials===
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
<math>a^2-2ab+c^2=(a-c)^2</math>
==References==
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