Answer :
Final answer:
The equivalent expression to the polynomial -2a(6a + 1) is -12a^2 - 2a by applying the distributive law of multiplication over addition.
Explanation:
The polynomial expression given is -2a(6a + 1).
This is an algebraic expression which can be simplified by using the distributive law of multiplication over addition.
The distributive law states that a(b + c) = ab + ac.
Therefore, we can simplify this expression by distributing -2a across (6a +1).
Applying the distributive law, the equivalent expression to -2a(6a + 1) is:
-12a^2 - 2a.
So, -2a(6a + 1) simplifies to -12a^2 - 2a.
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