x四次方-3x2+1 x四次方+2x2+9 怎么因式分解?快点!!!!

2024-11-29 11:44:23
推荐回答(2个)
回答1:

x^4-3x2+1 =x^4-2X²+1-X²
=(X²-1)²-X²
=(X²+X-1)(X²-X-1)

x^4+2x2+9 =
=x^4+6X²+9-4X²
=(X²+3)²-(2x)²
=(X²+2X+3)(X²-2X+3)

回答2:

x四次方-3x2+1 =x四次方-2X²+1-X²
=(X²-1)²-X²
=(X²+X-1)(X²-X-1)

x四次方+2x2+9 =
=x四次方+6X²+9-4X²
=(X²+3)²-(2x)²
=(X²+2X+3)(X²-2X+3)