Thursday, 6 June 2013

algebra precalculus - Simplify Squared Expression



I realize I haven't really dealt with simplifying non-linear expressions too much, and am just plain stuck. I'm having trouble with the algebra to simplify this expression:



$$\left(\frac{3}{8}r + \frac{1}{2}h\right)^2 - \left(\frac{3}{8}r\right)^2$$



To this one:



$$\frac{3r * 2h}{8}h$$




Could anyone briefly explain the rules to collect these terms together?


Answer



HINT :



$$A^2-B^2=(A-B)(A+B).$$


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