把下列各式分解因式(1) -4m³+16m²-26m(2)x³-2x²y+xy² (3)(x²-3x)²-(3x-1)²
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把下列各式分解因式(1) -4m³+16m²-26m(2)x³-2x²y+xy² (3)(x²-3x)²-(3x-1)²
把下列各式分解因式(1) -4m³+16m²-26m
(2)x³-2x²y+xy² (3)(x²-3x)²-(3x-1)²
把下列各式分解因式(1) -4m³+16m²-26m(2)x³-2x²y+xy² (3)(x²-3x)²-(3x-1)²
(1)-4m³+16m²-16m
=-4m(m²-4m+4)
=-4m(m-2)²
(2)x³-2x²y+xy²
=x(x²-2xy+y²)
=x(x-y)²
(3)(x²-3x)²-(3x-1)²
=(x²-3x+3x-1)(x²-3x-3x+1)
=(x²-1)(x²-6x+1)
=(x+1)(x-2)(x²-6x+1)
=(x+1)(x-2)(x-3+2√2)(x-3-2√2)
(1)
-4m³+16m²-26m
=-4m(m²-4m+26)
=-4m[(m-2)²+22]
=-4m(m-2+√22i)(m-2-√22i) /这道题要不就是抄错了,如果正确的,那么实数范围内无法因式分解,复数范围内可以。
(2)
x³-2x²y+xy...
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(1)
-4m³+16m²-26m
=-4m(m²-4m+26)
=-4m[(m-2)²+22]
=-4m(m-2+√22i)(m-2-√22i) /这道题要不就是抄错了,如果正确的,那么实数范围内无法因式分解,复数范围内可以。
(2)
x³-2x²y+xy²
=x(x²-2xy+y²)
=x(x-y)²
(3)
(x²-3x)²-(3x-1)²
=[(x²-3x)+(3x-1)][(x²-3x)-(3x-1)]
=(x²-1)(x²-6x+1)
=(x+1)(x-1)(x²-6x+1) /如果是实数范围内因式分解,继续:
=(x+1)(x-1)[(x-3)²-8]
=(x+1)(x-1)(x-3+2√2)(x-3-2√2)
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x³-2x²y+xy²=x(x²-2xy+x²)=x(x-y)²
(x²-3x)²-(3x-1)²
=(x²)²-6x*x²+9x²-9x²+6x-1
=(x²)²-6x*x²+6x-1
=(x...
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x³-2x²y+xy²=x(x²-2xy+x²)=x(x-y)²
(x²-3x)²-(3x-1)²
=(x²)²-6x*x²+9x²-9x²+6x-1
=(x²)²-6x*x²+6x-1
=(x²)²-1-(6x*x²-6x)
=(x²+1)(x²-1)-6x(x²-1)
=(x²-1)(x²-6x+1)
=(x+1)(x-1)(x²-6x+1)
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