Question

Which of the following expressions are equivalent to 16a^3b^2 - 8a^5b^5 + 12a^4b? Select all that apply.

Answer 1

To determine which expressions are equivalent to 16a^3b^2 - 8a^5b^5 + 12a^4b, we need to simplify each expression and compare them. Option 1, Option 2, and Option 3 are all equivalent to the original expression.

Step-by-step explanation:

To determine which of the given expressions are equivalent to 16a^3b^2 - 8a^5b^5 + 12a^4b, we need to simplify each expression and compare them with the original expression. Let's simplify each option:

1. 16a^3b^2 - 8a^5b^5 + 12a^4b (Original)
2. Option 1: 16a^3b^2 - 8a^5b^5 - 12a^4b (Subtracting 12a^4b)
3. Option 2: - 8a^5b^5 + 16a^3b^2 - 12a^4b (Rearranging terms)
4. Option 3: 16a^3b^2 + 12a^4b - 8a^5b^5 (Rearranging terms)

After simplifying the options, we can see that

Option 1

,

Option 2

, and

Option 3

are all equivalent expressions to

16a^3b^2 - 8a^5b^5 + 12a^4b

.