Question
Answer
$$3x^2-11x+5-(3x^2-5)=-11x+10$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}3x^2-11x+5-(3x^2-5)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}3x^2-11x+5-3x^2+5 \xlongequal{ } \\[1 em] & \xlongequal{ } \cancel{3x^2}-11x+5 -\cancel{3x^2}+5 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-11x+10\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 3x^2-5 \right) = -3x^2+5 $$ |
| ② | Combine like terms: $$ \, \color{blue}{ \cancel{3x^2}} \,-11x+ \color{green}{5} \, \color{blue}{ -\cancel{3x^2}} \,+ \color{green}{5} = -11x+ \color{green}{10} $$ |
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