The simplified form of the expression -6g(3g+2) is option (D) [tex]-18g^2-12g[/tex]
The expression is
-6g(3g+2)
The distributive property states that the multiplying the sum of two or more variables by a number will give the same answer as multiplying each variables individually by the number and then adding the products together.
The distributive property of addition is
A(B + C) = AB + AC
The distributive property of subtraction is
A(B - C) = AB - AC
Here the expression is
-6g(3g+2)
Apply the distributive property in the expression
-6g(3g+2) = (-6g) ×3g + (-6g)×2
Multiply it
= [tex]-18g^2-12g[/tex]
Hence, the simplified form of the expression -6g(3g+2) is option (D) [tex]-18g^2-12g[/tex]
Learn more about distributive property here
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