Question

Simplify the expression:

4x(2y) + 3y(2−x)4x(2y) + 3y(2−x)

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

Answer 1

To simplify the expression, we distribute the multiplication within the parentheses and then combine like terms to get 5xy + 6y. The simplified expression is '5xy + 6y', which corresponds to option A.

Step-by-step explanation:

The question asks to simplify the algebraic expression 4x(2y) + 3y(2-x). To simplify, we first distribute the multiplication within the parentheses:

1. Multiply 4x by 2y to get 8xy.
2. Multiply 3y by 2 to get 6y.
3. Multiply 3y by -x to get -3xy.

Combine the like terms:

• The terms 8xy and -3xy combine to give 5xy.
• The term 6y remains unchanged because there are no like terms to combine with it.

The simplified expression is 5xy + 6y, so the correct answer is A. 5xy + 6y.

To check the reasonableness of your answer, verify that you have distributed correctly and combined like terms.