Chapter 6: Q. 86 (page 698)

Ariana thinks the sum $6 y^{2} + 5 y^{4}$ is $11 y^{6}$ . 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

Step 1. Given information.

The given expression is:

$6 y^{2} + 5 y^{4}$

According to Ariana, the sum of these terms is $11 y^{6}$ .

Step 2. Determine Ariana's mistake.

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

The given expression has two terms $6 y^{2}$ and $5 y^{4}$ . Here, the terms have the same variable but with different exponents.

So, the terms $6 y^{2}$ and $5 y^{2}$ are not like terms, and the sum of these terms is not possible.

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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Ariana thinks the sum $6 y^{2} + 5 y^{4}$ is $11 y^{6}$ . What is wrong with her reasoning?

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Determine Ariana's mistake.

Step 3. Conclusion.

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

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Determine Ariana's mistake.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Theoretical and Mathematical Physics

Discrete Mathematics

Geometry

Decision Maths

Calculus

Study anywhere. Anytime. Across all devices.

Ariana thinks the sum $6 y^{2} + 5 y^{4}$ is $11 y^{6}$ . What is wrong with her reasoning?