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  • 化簡(jiǎn)求職:(2x-y+3z)(-2x-y-3z)-(x+2y-3z)²

    化簡(jiǎn)求職:(2x-y+3z)(-2x-y-3z)-(x+2y-3z)²
    化簡(jiǎn)求值:(2x-y+3z)(-2x-y-3z)-(x+2y-3z)²
    化簡(jiǎn)求值:(2x-y+3z)(-2x-y-3z)-(x+2y-3z)²,其中x=1,y=-1,z=1
    數(shù)學(xué)人氣:372 ℃時(shí)間:2020-04-17 18:30:39
    優(yōu)質(zhì)解答
    (2x-y+3z)(-2x-y-3z)-(x+2y-3z)²
    =-(2x-y+3z)(2x+y+3z)-(x+2y-3z)²
    =-[(2x+3z)²-y²]-(x+2y)²+6z(x+2y)-9z²
    =-4x²-12xz-9z²+y²-x²-4xy-4y²+6xz+12yz-9z²
    =-5x²-3y²-18z²-6xz+12yz-4xy化簡(jiǎn)求值:(2x-y+3z)(-2x-y-3z)-(x+2y-3z)²,其中x=1,y=-1,z=1(2x-y+3z)(-2x-y-3z)-(x+2y-3z)²=-(2x-y+3z)(2x+y+3z)-(x+2y-3z)²=-[(2x+3z)²-y²]-(x+2y)²+6z(x+2y)-9z²=-4x²-12xz-9z²+y²-x²-4xy-4y²+6xz+12yz-9z²=-5x²-3y²-18z²-6xz+12yz-4xy當(dāng)x=1,y=-1,z=1時(shí)原式=-5-3-18-6-12+4=-40
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