Answer
$$8x^2-12x+4-(3x^2+5x-1)=5x^2-17x+5$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}8x^2-12x+4-(3x^2+5x-1)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}8x^2-12x+4-3x^2-5x+1 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}5x^2-17x+5\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 3x^2+5x-1 \right) = -3x^2-5x+1 $$ |
| ② | Combine like terms: $$ \color{blue}{8x^2} \color{red}{-12x} + \color{green}{4} \color{blue}{-3x^2} \color{red}{-5x} + \color{green}{1} = \color{blue}{5x^2} \color{red}{-17x} + \color{green}{5} $$ |
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