Answer
$$4(5x^2-9x+7)+2(-10x^2+18x-13)=2$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}4(5x^2-9x+7)+2(-10x^2+18x-13)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}20x^2-36x+28-20x^2+36x-26 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}2\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{4} $ by $ \left( 5x^2-9x+7\right) $ $$ \color{blue}{4} \cdot \left( 5x^2-9x+7\right) = 20x^2-36x+28 $$Multiply $ \color{blue}{2} $ by $ \left( -10x^2+18x-13\right) $ $$ \color{blue}{2} \cdot \left( -10x^2+18x-13\right) = -20x^2+36x-26 $$ |
| ② | Combine like terms: $$ \, \color{blue}{ \cancel{20x^2}} \, \, \color{green}{ -\cancel{36x}} \,+ \color{blue}{28} \, \color{blue}{ -\cancel{20x^2}} \,+ \, \color{green}{ \cancel{36x}} \, \color{blue}{-26} = \color{blue}{2} $$ |
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