Question

Which pair of expressions below are equivalent?
Answer
Multiple Choice Answers
f, plus, f, plus, f, plus, f, plus, f, and , f, to the power 5f+f+f+f+f and f
5

7, left parenthesis, 5, f, minus, 2, right parenthesis, and , 35, f, minus, 147(5f−2) and 35f−14
f, plus, f, plus, f, plus, f, plus, g, plus, g, plus, g, and , 7, f, gf+f+f+f+g+g+g and 7fg
7, f, minus, 5, g, and , 5, g, minus, 7, f7f−5g and 5g−7f

Answer 1

The equivalent pair is 7(5f − 2) and 35f − 14.

Reason: Distribute 7: 7(5f − 2) = 35f − 14.

(For reference: f+f+f+f+f = 5f ≠ f^5; f+f+f+f+g+g+g = 4f+3g ≠ 7fg; and 7f−5g ≠ 5g−7f except in special cases.)