Question
Multiply polynomial $ \, \color{blue}{ 2a } \, $ by $ \, \color{orangered}{ 5a^2+8a+8 }$.
Answer
$$ \color{blue}{2a} \cdot \left( \color{orangered}{5a^2+8a+8} \right) = 10a^3+16a^2+16a $$
Explanation
We can use distribution property to multiply the polynomial by the monomial.
$$ \begin{aligned} \color{blue}{2a} \cdot \left( 5a^2+8a+8 \right) &= \color{blue}{2a} \cdot 5a^2 + \color{blue}{2a} \cdot 8a + \color{blue}{2a} \cdot 8 = \\ &= 10a^3+16a^2+16a \end{aligned} $$This page was created using
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