Answer
$$(a\cdot1^2+a\cdot2^2+a\cdot3^2+a\cdot4^2)(b\cdot1^2+b\cdot2^2+b\cdot3^2+b\cdot4^2)=900ab$$
Explanation
| $$ \begin{aligned}(a\cdot1^2+a\cdot2^2+a\cdot3^2+a\cdot4^2)(b\cdot1^2+b\cdot2^2+b\cdot3^2+b\cdot4^2)& \xlongequal{ }(a\cdot1+a\cdot4+a\cdot9+a\cdot16)(b\cdot1+b\cdot4+b\cdot9+b\cdot16) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}30a\cdot30b \xlongequal{ } \\[1 em] & \xlongequal{ }900ab\end{aligned} $$ | |
| ① | Combine like terms: $$ \color{blue}{a} + \color{red}{4a} + \color{green}{9a} + \color{green}{16a} = \color{green}{30a} $$Combine like terms: $$ \color{blue}{b} + \color{red}{4b} + \color{green}{9b} + \color{green}{16b} = \color{green}{30b} $$ |
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