Question
Add the following expression: $\frac{3}{4}\text{x}^2, 5\text{x}^2, -3\text{x}^2, -\frac{1}{4}\text{x}^2$
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Answer
$\frac{3}{4}\text{x}^2+5\text{x}^2+(-3\text{x}^2)+\Big(-\frac{1}{4}\text{x}^2\Big)$
$=\frac{3}{4}\text{x}^2+5\text{x}^2-3\text{x}^2-\frac{1}{5}\text{x}^2$
$=\frac{3\text{x}^2+20\text{x}^2-12\text{x}^2-\text{x}^2}{4}$
$(LCM = 4)$
$=\frac{23\text{x}^2-13\text{x}^2}{4}=\frac{10\text{x}^2}{4}$
$=\frac{5}{2}\text{x}^2$
$=\frac{3}{4}\text{x}^2+5\text{x}^2-3\text{x}^2-\frac{1}{5}\text{x}^2$
$=\frac{3\text{x}^2+20\text{x}^2-12\text{x}^2-\text{x}^2}{4}$
$(LCM = 4)$
$=\frac{23\text{x}^2-13\text{x}^2}{4}=\frac{10\text{x}^2}{4}$
$=\frac{5}{2}\text{x}^2$
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