Question
Answer
$$17k+8k^3-8-2(k^4-3)=-2k^4+8k^3+17k-2$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}17k+8k^3-8-2(k^4-3)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}17k+8k^3-8-(2k^4-6) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}17k+8k^3-8-2k^4+6 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}-2k^4+8k^3+17k-2\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{2} $ by $ \left( k^4-3\right) $ $$ \color{blue}{2} \cdot \left( k^4-3\right) = 2k^4-6 $$ |
| ② | Remove the parentheses by changing the sign of each term within them. $$ - \left( 2k^4-6 \right) = -2k^4+6 $$ |
| ③ | Combine like terms: $$ 17k+8k^3 \color{blue}{-8} -2k^4+ \color{blue}{6} = -2k^4+8k^3+17k \color{blue}{-2} $$ |
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