If a = 105 and a^3 = 21 × 25 × 45 × b, what is the value of b?	Choices.
A) 35  B) 42  C) 45  D) 49  E) 54

Rationale: "a = 105 = 3 * 5 * 7 a ^ 3 = 21 × 25 × 45 × b = > a ^ 3 = ( 7 * 3 ) x ( 5 * 5 ) x ( 3 ^ 2 * 5 ) x b = > a ^ 3 = 3 ^ 3 * 5 ^ 3 * 7 x b = > ( 3 * 5 * 7 ) ^ 3 = 3 ^ 3 * 5 ^ 3 * 7 x b b = 7 ^ 2 = 49 answer d"
Answer: D