分解因式:(a+1)x的平方+(a+1)x-a-1上面的是第一题,下面的也是因式分解:x(x-y-z)+y(y-x+z)+z(z-x+y)3xy(x+y)-5y(x+y)-x-y
问题描述:
分解因式:(a+1)x的平方+(a+1)x-a-1
上面的是第一题,下面的也是因式分解:x(x-y-z)+y(y-x+z)+z(z-x+y)
3xy(x+y)-5y(x+y)-x-y
答
1.(a+1)(x方+x-1)
2.(-x+y+z)方
3.(x+y)(3xy-5y-1)
答
(a+1)x的平方+(a+1)x-a-1
=(a+1)x²+(a+1)x-(a+1)
=(a+1)(x²+x-1)
x(x-y-z)+y(y-x+z)+z(z-x+y)
=x(x-y-z)-y(x-y-z)-z(x-y-z)
=(x-y-z)²
3xy(x+y)-5y(x+y)-x-y
=3xy(x+y)-5y(x+y)-(x+y)
=(x+y)(3xy-5y-1)