Expand: -5x(2x+6y) =

(1) -10x² - 30xy
(2) 10x² - 30xy
(3) 30x² - 10xy
(4) -40x²y

To solve the problem of expanding the expression − 5 x ( 2 x + 6 y ) , we need to apply the distributive property. This property allows us to multiply a single term outside the parentheses by each term inside the parentheses. Here's how you can expand the expression step by step:

Distribute − 5 x to 2 x :
− 5 x × 2 x = − 10 x 2

Distribute − 5 x to 6 y :
− 5 x × 6 y = − 30 x y


After performing these two distributive steps, combine the results to form the expanded expression:
− 10 x 2 − 30 x y
Thus, the expanded expression is − 10 x 2 − 30 x y , which matches with option (1) in the given choices.
So, the correct answer is: (1) -10x^2 - 30xy .

Answered by MasonWilliamTurner | 2025-07-20

The expanded expression of − 5 x ( 2 x + 6 y ) is − 10 x 2 − 30 x y , which is option (1).
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Answered by MasonWilliamTurner | 2025-08-20