Question

因式分解。

Answer 1

（x²+1)y^4-x²-1
=(x²+1)y^4-(x²+1)
=(x²+1)(y-1)(y+1)(y²+1)

1+b²+2b-4a²
=(1+b)²-4a²
=(1+b+2a)(1+b-2a)

37x-28-12x²
=-(12x²-37x+28)
=-(3x-4)(4x-7)

x²-2ax-3a²
=(x+a)(x-3a)

3aⁿ(1-a)-2(aⁿ-2aⁿ﹢¹)
=3aⁿ(1-a)-2aⁿ(1-2a)
=aⁿ(3-3a-2+4a)
=aⁿ(1+a)

(x-y)²+(x-y)³
=(x-y)(1+x-y)

a³-27b³
=(a-3b)(a²+3ab+9b²)

96a+14(a²-1)
=96a+14a²-14
=2(7a²+48a-7)
=2(7a-1)(a+7)

追问

有2道你看错符号

追答

1-b²+2b-4a²
=(1-b)²-4a²
=(1-b+2a)(1-b-2a)

(x-y)³+(x-y)³
=2(x-y)³