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Simplify the expression: 4x(2y) + 3y(2 − x)

A. 8xy + 6y − x
B. 5xy + 6y
C. 8xy + 6y − 3x
D. 11xy + 6y

User Dan Lewer
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1 Answer

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Final answer:

To simplify the expression 4x(2y) + 3y(2 - x), expand each term and add them together to get the simplified form, which is 8xy + 6y - 3x, making option C the correct answer.

Step-by-step explanation:

The correct answer is option C which is 8xy + 6y - 3x. To simplify the expression 4x(2y) + 3y(2 - x), first expand the terms:

4x × 2y = 8xy (since 4 times 2 equals 8)

3y × 2 = 6y (since 3 times 2 equals 6)

3y × -x = -3xy (sign changes because of the minus)

Adding them together you get: 8xy + 6y - 3xy which simplifies further since there are no like terms with 3xy. Therefore, the expression simplifies to 8xy + 6y - 3x.

The correct answer is option C. 8xy + 6y - 3x.

To simplify the expression, distribute the terms:

4x(2y) = 8xy

3y(2 - x) = 6y - 3xy

Combine like terms:

8xy + 6y - 3xy = 5xy + 6y - 3x

So, the simplified expression is 8xy + 6y - 3x.

User AudioDroid
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