Answer
$$4(x^2+x-6)+9=4x^2+4x-15$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}4(x^2+x-6)+9& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}4x^2+4x-24+9 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}4x^2+4x-15\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{4} $ by $ \left( x^2+x-6\right) $ $$ \color{blue}{4} \cdot \left( x^2+x-6\right) = 4x^2+4x-24 $$ |
| ② | Combine like terms: $$ 4x^2+4x \color{blue}{-24} + \color{blue}{9} = 4x^2+4x \color{blue}{-15} $$ |
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