Question
Answer
$$12x+6x(7x-15)+23-25x=42x^2-103x+23$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}12x+6x(7x-15)+23-25x& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}12x+42x^2-90x+23-25x \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}42x^2-78x+23-25x \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}42x^2-103x+23\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{6x} $ by $ \left( 7x-15\right) $ $$ \color{blue}{6x} \cdot \left( 7x-15\right) = 42x^2-90x $$ |
| ② | Combine like terms: $$ \color{blue}{12x} +42x^2 \color{blue}{-90x} = 42x^2 \color{blue}{-78x} $$ |
| ③ | Combine like terms: $$ 42x^2 \color{blue}{-78x} +23 \color{blue}{-25x} = 42x^2 \color{blue}{-103x} +23 $$ |
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