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Chapter 6: Q. 86 (page 698)

Ariana thinks the sum 6y2+5y4is 11y6. What is wrong with her reasoning?

Short Answer

Expert verified

In the expression, the terms have the same variable with different exponents. So, the sum of these terms is not possible.

Step by step solution

01

Step 1. Given information.

The given expression is:

6y2+5y4

According to Ariana, the sum of these terms is 11y6.

02

Step 2. Determine Ariana's mistake.

Like terms:It must have the same variables with the same exponent.

The given expression has two terms 6y2and 5y4. Here, the terms have the same variable but with different exponents.

So, the terms 6y2and 5y2are not like terms, and the sum of these terms is not possible.

03

Step 3. Conclusion.

In the expression, the terms have the same variable with different exponents. So, the sum of these terms is not possible.

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