Question
Answer
$$\dfrac{3}{5x^2}-\dfrac{-2}{5x^2}=\dfrac{5}{5x^2}$$
Explanation
| $$ \begin{aligned}\frac{3}{5x^2}-\frac{-2}{5x^2}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{5}{5x^2}\end{aligned} $$ | |
| ① | Subtract $ \dfrac{-2}{5x^2} $ from $ \dfrac{3}{5x^2} $ to get $ \dfrac{5}{5x^2} $. To subtract expressions with the same denominators, we subtract the numerators and write the result over the common denominator. $$ \begin{aligned} \frac{3}{5x^2} - \frac{-2}{5x^2} & = \frac{3}{\color{blue}{5x^2}} - \frac{-2}{\color{blue}{5x^2}} =\frac{ 3 - \left( -2 \right) }{ \color{blue}{ 5x^2 }} = \\[1ex] &= \frac{5}{5x^2} \end{aligned} $$ |
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Simplify Rational Expressions