Question
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Tutor-Verified Answer
Answer
Both statements are False.
Solution
Let’s analyze the statements one by one.
-
For the expression
: - The expression consists of two terms:
and . - The first term
is a quadratic term (degree 2), while the second term is a linear term (degree 1). - Since the terms have different degrees, they are not like terms.
- The expression consists of two terms:
-
For the statement about
and : - The first term
has the variables and both raised to the second power. - The second term
has raised to the second power and raised to the first power. - Since the powers of
are different in both terms, they are not like terms.
- The first term
Now, let’s summarize the answers:
- The statement “Answer: 10 I” is False because
does not equal 10. - The statement "
and are like terms" is also False.
Thus, both statements are False.
Answered by UpStudy AI and reviewed by a Professional Tutor
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The Deep Dive
Your answer to the first statement is false! The expression
doesn’t simplify to 10. Instead, it represents a quadratic polynomial and can be factored or analyzed further, but it certainly doesn’t equal a simple number like 10.
As for the second statement, it is also false! The terms
and
are not like terms because they have different variables raised to different powers. Like terms need to have the same variable part!