(2x^2-3x+4)^2怎么运算
2016-02-29
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(2x²-3x+4)²
=[2x²-(3x-4)]²
=(2x²)²-2(2x²)(3x-4)+(3x-4)²
=4x^4-(4x²)(3x-4)+(9x²-12x+16)
=4x^4-(12x³-16x²)+(9x²-12x+16)
=4x^4-12x³+16x²+9x²-12x+16
=4x^4-12x³+25x²-12x+16
=[2x²-(3x-4)]²
=(2x²)²-2(2x²)(3x-4)+(3x-4)²
=4x^4-(4x²)(3x-4)+(9x²-12x+16)
=4x^4-(12x³-16x²)+(9x²-12x+16)
=4x^4-12x³+16x²+9x²-12x+16
=4x^4-12x³+25x²-12x+16
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