Question

reduce into lowest terms
3x^ + 5xy-2y^/4x^+7xy-2y^

Answer 1

3x2 + 5xy - 2y2 /4x2 + 7xy - 2y2
(3x - y)•(x + 2y)/(4x - y)•(x + 2y)  
 (x+2y) gets cancelled in both equations  
 (3x - y)/(4x - y)