(x²+x)²-3x(x+1)-10
=[x(x+1)]²-3x(x+1)-10
令x(x+1)=t,则:
[x(x+1)]²-3x(x+1)-10
=t²-3t-10
=(t+2)(t+5)
将t=x(x+1)代入上式可得:
(x²+x)²-3x(x+1)-10
=(t+2)(t+5)
=【x(x+1)+2】【x(x+1)+5】
=(x²+x+2)(x²+x-5)
(x²+x)²-3x(x+1)-10
=[x(x+1)]²-3x(x+1)-10
令x(x+1)=t,则:
[x(x+1)]²-3x(x+1)-10
=t²-3t-10
=(t+2)(t+5)
将t=x(x+1)代入上式可得:
(x²+x)²-3x(x+1)-10
=(t+2)(t+5)
=【x(x+1)+2】【x(x+1)+5】
=(x²+x+2)(x²+x-5)