Question

Which can be used to describe the expression?

(r+4) ³


a) There are three factors of r−4.
b) The expression is equal to 1 over 12 factors of r.
c) Adding the exponents will create an equivalent expression.
d) all of the above

Answer 1

None of the options provided accurately describe the expression (r+4)³, as it signifies three factors of r+4, not r−4, and the associative property of exponents does not apply to this expression.

Step-by-step explanation:

The student's question about describing the expression (r+4)³ has a specific answer. Option a) 'There are three factors of r−4' is incorrect because the expression denotes three factors of r+4, not r−4. Option b) 'The expression is equal to 1 over 12 factors of r' is unrelated and does not describe the given expression. Option c) 'Adding the exponents will create an equivalent expression' refers generally to exponential rules but does not apply directly to the expression since there is no addition of exponents. Therefore, none of the given options are correct in describing the expression (r+4)³.