分解因式:x2+3xy+2y2+4x+5y+3.

问题描述:

分解因式:x2+3xy+2y2+4x+5y+3.

∵x2+3xy+2y2=(x+2y)(x+y),
x2+4x+3=(x+1)(x+3),
2y2+5y+3=(2y+3)(y+1),
∴x2+3xy+2y2+4x+5y+3=(x+2y+3)(x+y+1).