Question
Answer
$$nz+m((f-z)^2+y^2)^{0.5}-fm=-fm+nz+m$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}nz+m((f-z)^2+y^2)^{0.5}-fm& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}nz+m(1f^2-2fz+z^2+y^2)^{0.5}-fm \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}nz+m\cdot1-fm \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}-fm+nz+m\end{aligned} $$ | |
| ① | Find $ \left(f-z\right)^2 $ using formula. $$ (A - B)^2 = \color{blue}{A^2} - 2 \cdot A \cdot B + \color{red}{B^2} $$where $ A = \color{blue}{ f } $ and $ B = \color{red}{ z }$. $$ \begin{aligned}\left(f-z\right)^2 = \color{blue}{f^2} -2 \cdot f \cdot z + \color{red}{z^2} = f^2-2fz+z^2\end{aligned} $$ |
| ② | A non-zero polynomial raised to the power of 0 equals 1. |
| ③ | Combine like terms: $$ -fm+nz+m = -fm+nz+m $$ |
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