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Factor the following polynomial:36x^2−4

 Sep 9, 2015
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Factor the following polynomial: 36x^2−4

 

\(\small{\text{Formula Difference of Squares $~ \boxed{~ \textcolor[rgb]{1,0,0}{ a}^2 - \textcolor[rgb]{0,0,1}{ b}^2 = (\textcolor[rgb]{1,0,0}{ a} -\textcolor[rgb]{0,0,1}{ b})(\textcolor[rgb]{1,0,0}{ a} + \textcolor[rgb]{0,0,1}{b}) ~} $}}\\ \small{ \begin{array}{rcl} \\ 36x^2-4 & = & (6x)^2 -2^2\\ (\textcolor[rgb]{1,0,0}{6x})^2 -\textcolor[rgb]{0,0,1}{2}^2 &=& (\textcolor[rgb]{1,0,0}{6x}-\textcolor[rgb]{0,0,1}{2})(\textcolor[rgb]{1,0,0}{6x}+\textcolor[rgb]{0,0,1}{2})\\ \end{array} }\)

 

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 Sep 9, 2015

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