Conquer the College Math Placement Challenge 2025 – Step Up and Shine!

Question: 1 / 400

What is the simplified form of the expression 4x(2y) + 3y(2−x)?

5xy + 6y

To simplify the expression 4x(2y) + 3y(2−x), we start by distributing the terms in each part of the expression.

First, look at the term 4x(2y). When simplifying this, we multiply 4x by 2y, which gives us:

4x(2y) = 8xy.

Next, we simplify the term 3y(2 - x). Here, we distribute 3y across both terms within the parentheses:

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

Now, we can combine the simplified results from both parts of the expression:

8xy + (6y - 3xy).

When combining like terms, specifically the xy terms, we notice that:

8xy - 3xy = 5xy.

Putting everything together gives us:

5xy + 6y.

This matches option A perfectly. By breaking down the expression carefully and combining like terms, we see that the correct simplification leads us to the answer of 5xy + 6y.

Get further explanation with Examzify DeepDiveBeta

8xy + 6y − x

11xy + 6y

8xy + 6y − 3x

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