Question
Answer
$$\dfrac{5^2-57+70^2}{2^2-16-40^2}=-\dfrac{1217}{403}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{5^2-57+70^2}{2^2-16-40^2}& \xlongequal{ }\frac{25-57+70^2}{4-16-40^2} \xlongequal{ } \\[1 em] & \xlongequal{ }\frac{-32+70^2}{-12-40^2} \xlongequal{ } \\[1 em] & \xlongequal{ }\frac{-32+4900}{-12-1600} \xlongequal{ } \\[1 em] & \xlongequal{ }\frac{4868}{-1612} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-\frac{4868}{1612} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}- \, \frac{ 4868 : \color{orangered}{ 4 } }{ 1612 : \color{orangered}{ 4 }} \xlongequal{ } \\[1 em] & \xlongequal{ }-\frac{1217}{403}\end{aligned} $$ | |
| ① | Place minus sign in front of the fraction. |
| ② | Divide both the top and bottom numbers by $ \color{orangered}{ 4 } $. |
This page was created using
Simplify Radical Expression