MathCastle
Proof Writing & Problem SolvingEasy

Proof Writing & Problem Solving · Easy problem

A direct proof that the product of two odd numbers is odd writes them as 2a+12a + 1 and 2b+12b + 1 and computes (2a+1)(2b+1)=2(2ab+a+b)+1(2a + 1)(2b + 1) = 2(2ab + a + b) + 1. For the product 7⋅117 \cdot 11, what is the integer 2ab+a+b2ab + a + b?

Practice more like this