Name: Anonymous 2014-02-08 15:24
Suppose a and b are two positive integers.
Step Reason
---- ------
a = b given
a^2 = ab multiply both sides by a
a^2 - b^2 = ab - b^2 subtract b^2 from both sides
(a-b)(a+b)=b(a-b) factor both sides
a + b = b divide both sides by (a-b)
2b = b replace a with b because a=b, simplify
2 = 1 divide by b
Conclusion: 2 = 1
Step Reason
---- ------
a = b given
a^2 = ab multiply both sides by a
a^2 - b^2 = ab - b^2 subtract b^2 from both sides
(a-b)(a+b)=b(a-b) factor both sides
a + b = b divide both sides by (a-b)
2b = b replace a with b because a=b, simplify
2 = 1 divide by b
Conclusion: 2 = 1