将下列多项式因式分解,并求值:a²-b²+c²+2ac,其中b=a+c附加:已知多项式X=x²-6x+4y²-16y+25,求x、y取何值时此多项式的值最小,并求此最小值。求证:无论x、y为何值时4x²-16x+
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![将下列多项式因式分解,并求值:a²-b²+c²+2ac,其中b=a+c附加:已知多项式X=x²-6x+4y²-16y+25,求x、y取何值时此多项式的值最小,并求此最小值。求证:无论x、y为何值时4x²-16x+](/uploads/image/z/2589219-27-9.jpg?t=%E5%B0%86%E4%B8%8B%E5%88%97%E5%A4%9A%E9%A1%B9%E5%BC%8F%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%2C%E5%B9%B6%E6%B1%82%E5%80%BC%EF%BC%9Aa%26%23178%3B-b%26%23178%3B%2Bc%26%23178%3B%2B2ac%2C%E5%85%B6%E4%B8%ADb%3Da%2Bc%E9%99%84%E5%8A%A0%EF%BC%9A%E5%B7%B2%E7%9F%A5%E5%A4%9A%E9%A1%B9%E5%BC%8FX%3Dx%26%23178%3B-6x%2B4y%26%23178%3B-16y%2B25%EF%BC%8C%E6%B1%82x%E3%80%81y%E5%8F%96%E4%BD%95%E5%80%BC%E6%97%B6%E6%AD%A4%E5%A4%9A%E9%A1%B9%E5%BC%8F%E7%9A%84%E5%80%BC%E6%9C%80%E5%B0%8F%EF%BC%8C%E5%B9%B6%E6%B1%82%E6%AD%A4%E6%9C%80%E5%B0%8F%E5%80%BC%E3%80%82%E6%B1%82%E8%AF%81%EF%BC%9A%E6%97%A0%E8%AE%BAx%E3%80%81y%E4%B8%BA%E4%BD%95%E5%80%BC%E6%97%B64x%26%23178%3B-16x%2B)
将下列多项式因式分解,并求值:a²-b²+c²+2ac,其中b=a+c附加:已知多项式X=x²-6x+4y²-16y+25,求x、y取何值时此多项式的值最小,并求此最小值。求证:无论x、y为何值时4x²-16x+
将下列多项式因式分解,并求值:a²-b²+c²+2ac,其中b=a+c
附加:已知多项式X=x²-6x+4y²-16y+25,求x、y取何值时此多项式的值最小,并求此最小值。
求证:无论x、y为何值时4x²-16x+9y²+18y+26
将下列多项式因式分解,并求值:a²-b²+c²+2ac,其中b=a+c附加:已知多项式X=x²-6x+4y²-16y+25,求x、y取何值时此多项式的值最小,并求此最小值。求证:无论x、y为何值时4x²-16x+
b=a+c
a+c-b=0
a²-b²+c²+2ac
=(a²+2ac+c²)-b²
=(a+c)²-b²
=(a+c-b)(a+c+b)
=0
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