Mathematics

This is about expanding a product of two binomials where each term involves a square root. The key insight is to treat $\sqrt{2a}$ as a single variable—call it $x$—so you're really just doing FOIL on $(x - 5)(7x - 5)$. Once you expand and combine like terms, substitute $\sqrt{2a}$ back in and simplify any products of square roots using $\sqrt{m} \cdot \sqrt{n} = \sqrt{mn}$.

This is about expanding a product of two binomials where each term involves a square root. The key insight is to treat $\sqrt{2a}$ as a single variable—call it $x$—so you're really just doing FOIL on $(x - 5)(7x - 5)$. Once you expand and combine like terms, substitute $\sqrt{2a}$ back in and simplify any products of square roots using $\sqrt{m} \cdot \sqrt{n} = \sqrt{mn}$.