在实数范围内分解因式(1) 2x²+2x-1 (2)x²-2xy-y²
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在实数范围内分解因式(1) 2x²+2x-1 (2)x²-2xy-y²
在实数范围内分解因式(1) 2x²+2x-1 (2)x²-2xy-y²
在实数范围内分解因式(1) 2x²+2x-1 (2)x²-2xy-y²
(1) 2x²+2x-1
=2(x²+x-1/2)
=2(x²+x+1/4-3/4)
=2[(x+1/2)²-3/4]
=2(x+1/2+√3/2)(x+1/2-√3/2)
(2)x²-2xy-y²
=(x²-2xy+y²)-2y²
=(x-y)²-2y²
=(x-y+√2y)(x-y-√2y)
1.2x²+2x-1
=2(x²+x-1/2)
=2(x²+x+1/4-3/4)
=2[(x+1/2)²-3/4]
=2(x+1/2+√3/2)(x+1/2-√3/2)
(2)x²-2xy-y²
=(x²-2xy+y²)-2y²
=(x-y)²-2y²
=(x-y+√2y)(x-y-√2y)