Answer
$$3x(-x+5)+x+1=-3x^2+16x+1$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}3x(-x+5)+x+1& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-3x^2+15x+x+1 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-3x^2+16x+1\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{3x} $ by $ \left( -x+5\right) $ $$ \color{blue}{3x} \cdot \left( -x+5\right) = -3x^2+15x $$ |
| ② | Combine like terms: $$ -3x^2+ \color{blue}{15x} + \color{blue}{x} +1 = -3x^2+ \color{blue}{16x} +1 $$ |
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