Question
Answer
$$2(3x-1)+5x^2-x+1=5x^2+5x-1$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}2(3x-1)+5x^2-x+1& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}6x-2+5x^2-x+1 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}5x^2+5x-1\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{2} $ by $ \left( 3x-1\right) $ $$ \color{blue}{2} \cdot \left( 3x-1\right) = 6x-2 $$ |
| ② | Combine like terms: $$ \color{blue}{6x} \color{red}{-2} +5x^2 \color{blue}{-x} + \color{red}{1} = 5x^2+ \color{blue}{5x} \color{red}{-1} $$ |
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