Multiply polynomial $ \, \color{blue}{ 2y^2 } \, $ by $ \, \color{orangered}{ 5y^2-5y+2 }$.
Answer
$$ \color{blue}{2y^2} \cdot \left( \color{orangered}{5y^2-5y+2} \right) = 10y^4-10y^3+4y^2 $$
Explanation
We can use distribution property to multiply the polynomial by the monomial.
$$ \begin{aligned} \color{blue}{2y^2} \cdot \left( 5y^2-5y+2 \right) &= \color{blue}{2y^2} \cdot 5y^2 + \color{blue}{2y^2} \cdot \left( -5y\right) + \color{blue}{2y^2} \cdot 2 = \\ &= 10y^4-10y^3+4y^2 \end{aligned} $$This page was created using
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