Question
Answer
$$7x(x-1)+2(x-1)=7x^2-5x-2$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}7x(x-1)+2(x-1)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}7x^2-7x+2x-2 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}7x^2-5x-2\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{7x} $ by $ \left( x-1\right) $ $$ \color{blue}{7x} \cdot \left( x-1\right) = 7x^2-7x $$Multiply $ \color{blue}{2} $ by $ \left( x-1\right) $ $$ \color{blue}{2} \cdot \left( x-1\right) = 2x-2 $$ |
| ② | Combine like terms: $$ 7x^2 \color{blue}{-7x} + \color{blue}{2x} -2 = 7x^2 \color{blue}{-5x} -2 $$ |
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