multiply the following polynomial -3x(y^2+2y^2)
answer choices
3xy^2-6xy^2'
-3xy^2-gxy^2
-3xy^2+5y^2
-9xy^2
The last one was the answer. Can you tell me how the answer was solved? Thanks!
-3x(3 y^2) = -9 x y^2
Do operations inside parentheses first.
To multiply a polynomial, we need to distribute the coefficient to each term inside the parentheses. In this case, we have the polynomial -3x multiplied by the expression (y^2 + 2y^2).
First, let's distribute -3x to each term inside the parentheses:
-3x * y^2 = -3xy^2
-3x * 2y^2 = -6xy^2
Combining these two terms, we have:
-3xy^2 + (-6xy^2) = -3xy^2 - 6xy^2 = -9xy^2
Therefore, the correct answer is -9xy^2.