帮忙写3题分解因式（急~~）

来源：百度知道 编辑：UC知道 时间：2024/05/29 16:10:05
1.XY-X-Y+1
2.49+14X+X的平方-Y的平方
3.A的平方+2AB+B平方+2A+2B

1.XY-X-Y+1
=(xy-x)-(y-1)
=x(y-1)-(y-1)
=(y-1)(x-1)

2.49+14X+X的平方-Y的平方
=(x^2+14x+49)-y^2
=(x+7)^2-y^2
=(x+7+y)(x+7-y)

3.A的平方+2AB+B平方+2A+2B
=(a^2+2ab+b^2)+(2a+2b)
=(a+b)^2+2(a+b)
=(a+b)(a+b+2)

①XY-X-Y+1
=(xy-x)-(y-1)
=x(y-1)-(y-1)
=(y-1)(x-1)
②(x^2+14x+49)-y^2
=(x+7)^2-y^2
=(x+7+y)(x+7-y)
③(a^2+2ab+b^2)+(2a+2b)
=(a+b)^2+2(a+b)
=(a+b)(a+b+2)