Interesting Math Problems
(Come find me and I will help you!)
Problem 1 posted on 3/18/12
Factor (a+b)(a+2b)(a+3b)(a+4b) + 4b4
Problem 2 posted on 4/22/13
Factor a3 + b3 + c3 - 3abc
Problem 3 posted on 12/24/13
It takes Bubaba 8 hours, Pupepe 3.6 hours, and Lulala 2 hours to build a gadget. At 1pm, Bruce Wayne called to request this gadget by 3 pm. Bubaba started right away. At 1:30, Pupepe joined Bubaba. What time should Lulala join them so that they can finish building the gadget at exactly 3pm?
Problem 4 posted on 1/6/14
There is only one positive integer which is exactly twice the sum of its digits. What is this two-digit number?