4a²-b²+2b-1,x²-1-2ax+a²,(a²-b²)+4(b-1),x²-xy+4x-4y因式分解

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4a²-b²+2b-1,x²-1-2ax+a²,(a²-b²)+4(b-1),x²-xy+4x-4y因式分解
4a²-b²+2b-1,x²-1-2ax+a²,(a²-b²)+4(b-1),x²-xy+4x-4y因式分解

4a²-b²+2b-1,x²-1-2ax+a²,(a²-b²)+4(b-1),x²-xy+4x-4y因式分解
4a²-b²+2b-1
=4a²-(b²-2b+1)
=4a²-(b-1)²
=(2a+b-1)(2a-b+1)

x²-1-2ax+a²,
=x²-2ax+a²-1
=(x-a)²-1
=(x-a+1)(x-a-1)

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

x²-xy+4x-4y
=x(x-y)+4(x-y)
=(x-y)(x+4)

(2a+b+1)(2a-b),(x-a+1)(x-a-1),(a+b)(a-b)+4(b-1),x(x-y+4)-4y