5道因式分解习题————————(1)x²-x-6 (2)x²-10x+16 (3)(y+1)x²+2x(y+1)+y+1 (4) a^4-2a²b²+b^4 (5)4xy-(x-y)²

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5道因式分解习题————————(1)x²-x-6 (2)x²-10x+16 (3)(y+1)x²+2x(y+1)+y+1 (4) a^4-2a²b²+b^4 (5)4xy-(x-y)²

5道因式分解习题————————(1)x²-x-6 (2)x²-10x+16 (3)(y+1)x²+2x(y+1)+y+1 (4) a^4-2a²b²+b^4 (5)4xy-(x-y)²
5道因式分解习题————————
(1)x²-x-6 (2)x²-10x+16 (3)(y+1)x²+2x(y+1)+y+1 (4) a^4-2a²b²+b^4 (5)4xy-(x-y)²

5道因式分解习题————————(1)x²-x-6 (2)x²-10x+16 (3)(y+1)x²+2x(y+1)+y+1 (4) a^4-2a²b²+b^4 (5)4xy-(x-y)²
(1)x²-x-6=(x-3)(x+2)
(2)x²-10x+16=(x-2)(x-8)
(3)(y+1)x²+2x(y+1)+y+1=(y+1)(x²+2x+1)=(y+1)(x+1)²
(4) a^4-2a²b²+b^4=(a²-b²)²=(a+b)²(a-b)²
(5)4xy-(x-y)²=4xy-x²-y²+2xy=6xy-x²-y²