Question
Answer
$$7n^2+5n+1-(5n\cdot2+4n)=7n^2-9n+1$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}7n^2+5n+1-(5n\cdot2+4n)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}7n^2+5n+1-(10n+4n) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}7n^2+5n+1-14n \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}7n^2-9n+1\end{aligned} $$ | |
| ① | $$ 5 n \cdot 2 = 10 n $$ |
| ② | Combine like terms: $$ \color{blue}{10n} + \color{blue}{4n} = \color{blue}{14n} $$ |
| ③ | Combine like terms: $$ 7n^2+ \color{blue}{5n} +1 \color{blue}{-14n} = 7n^2 \color{blue}{-9n} +1 $$ |
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