Multiply polynomial $ \, \color{blue}{ 4b^2 } \, $ by $ \, \color{orangered}{ 4b^2+2-2b }$.

$$ \color{blue}{4b^2} \cdot \left( \color{orangered}{4b^2+2-2b} \right) = 16b^4-8b^3+8b^2 $$

Step 1: First we have to write polynomials in descending order.

$$ \begin{aligned} P(x) &= 4b^2 \\ Q(x) &= 4b^2-2b+2 \\ \end{aligned} $$

We can use distribution property to multiply the polynomial by the monomial.

$$ \begin{aligned} \color{blue}{4b^2} \cdot \left( 4b^2-2b+2 \right) &= \color{blue}{4b^2} \cdot 4b^2 + \color{blue}{4b^2} \cdot \left( -2b\right) + \color{blue}{4b^2} \cdot 2 = \\ &= 16b^4-8b^3+8b^2 \end{aligned} $$

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