X*2+X(Y-1)-(2Y*2-7Y+6)怎么变形等于(X+Y+2)(X+2Y-3

问题描述:

X*2+X(Y-1)-(2Y*2-7Y+6)怎么变形等于(X+Y+2)(X+2Y-3
X*2+X(Y-1)-(2Y*2-7Y+6)怎么变形等于(X+Y+2)(X+2Y-3)

原式=x²+xy-2y²-x+7y-6
=(x+2y)(x-y)-x+7y-6
再用十字相乘法
x+2y -3
×
x-y 2
所以原式=(x+2y-3)(x-y+2)