Algebra Practice Test

Question: 1 / 400

What does the expression 4(ab)^2 simplify to?

4a^2b^2

To simplify the expression 4(ab)^2, you start by focusing on the part inside the parentheses, which is ab. When you square the expression (ab), you apply the exponent to both a and b. This means:

(ab)^2 = a^2 * b^2.

Now, you have the expression 4 multiplied by this result:

4(ab)^2 = 4 * (a^2 * b^2).

Next, you can rewrite this in a clearer format:

= 4a^2b^2.

Now, since 4 is being multiplied by a^2b^2, you can express this as:

= 4a^2b^2.

In this case, 4a^2b^2 can be interpreted as a coefficient (4) multiplied by a product of variables raised to their respective powers. This matches exactly with the first choice, 4a^2b^2, demonstrating that this is indeed the correct simplification of the original expression.

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