Question
Answer
$$2(5\cdot2-3)^2+3(5\cdot2-3)+7=126$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}2(5\cdot2-3)^2+3(5\cdot2-3)+7& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}2(10-3)^2+3\cdot(10-3)+7 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}2\cdot7^2+3\cdot7+7 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}2\cdot7^2+21+7 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle4}{\textcircled {4}} } }}}2\cdot49+21+7 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle5}{\textcircled {5}} } }}}98+21+7 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle6}{\textcircled {6}} } }}}126\end{aligned} $$ | |
| ① | $$ 5 \cdot 2 = 10 $$$$ 5 \cdot 2 = 10 $$ |
| ② | Combine like terms: $$ \color{blue}{10} \color{blue}{-3} = \color{blue}{7} $$Combine like terms: $$ \color{blue}{10} \color{blue}{-3} = \color{blue}{7} $$ |
| ③ | $$ 3 \cdot 7 = 21 $$ |
| ④ | 10-3=7 |
| ⑤ | $$ 2 \cdot 49 = 98 $$ |
| ⑥ | Combine like terms: $$ \color{blue}{98} + \color{red}{21} + \color{red}{7} = \color{red}{126} $$ |
This page was created using
Simplify polynomials calculator