$\displaystyle (x+1/2)^2 - (x+3/2)^2$

How does it simplify... Is there a name for term of this nature? I've forgotten.

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- Mar 19th 2010, 06:04 PMNeZVaAlgebra Fail! - Simplifying squared terms.
$\displaystyle (x+1/2)^2 - (x+3/2)^2$

How does it simplify... Is there a name for term of this nature? I've forgotten. - Mar 19th 2010, 06:21 PMharish21
$\displaystyle (x+1/2)^2 - (x+3/2)^2$

= $\displaystyle {(x^2)+2*x*\frac{1}{2}+[\frac{1}{2}]^2} - [(x^2)+2*x*[\frac{3}{2}]+[\frac{3}{2}]^2]$

= $\displaystyle {x^2}+x+\frac{1}{4}-{x^2}-3x-\frac{9}{4}$

= $\displaystyle -2x-\frac{8}{4}$

=$\displaystyle -2x-2$

=$\displaystyle -2(x+1)$ - Mar 19th 2010, 06:29 PMharish21
- Mar 19th 2010, 06:49 PMNeZVa