分解因式:2X³-3X²+2X-1?
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2x³-3x²+2x-1
=2x³-2x²-x²+2x-1
=2x²(x-1)-(x²-2x+1)
=2x²(x-1)-(x-1)²
=(x-1)[2x²-(x-1)]
=(x-1)(2x²-x+1)
=2x³-2x²-x²+2x-1
=2x²(x-1)-(x²-2x+1)
=2x²(x-1)-(x-1)²
=(x-1)[2x²-(x-1)]
=(x-1)(2x²-x+1)
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2X³-3X²+2X-1
=(2X³-2X²)-(X²-2X+1)
=2X²(X-1)-(X-1)²
=(X-1)(2X²-1)
=(X-1)(√2X+1)(√2X-1)
=(2X³-2X²)-(X²-2X+1)
=2X²(X-1)-(X-1)²
=(X-1)(2X²-1)
=(X-1)(√2X+1)(√2X-1)
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2X³-3X²+2X-1
=2X³-2X²-Ⅹ²+2X-1
=2X²(Ⅹ-1)-(X²-2Ⅹ+1)
=2X²(Ⅹ-1)-(X-1)²
=(X-1)(2X²-X+1)
=2X³-2X²-Ⅹ²+2X-1
=2X²(Ⅹ-1)-(X²-2Ⅹ+1)
=2X²(Ⅹ-1)-(X-1)²
=(X-1)(2X²-X+1)
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原式=-2x^2(x-1)^2
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2x³ - 3x² + 2x - 1
= (2x³ - 2x²) - (x² - 2x + 1)
= 2x²(x - 1) - (x - 1)²
= (x - 1)(2x² - x + 1)
= (2x³ - 2x²) - (x² - 2x + 1)
= 2x²(x - 1) - (x - 1)²
= (x - 1)(2x² - x + 1)
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