因式分解问题(x+2y)²-4z²(x+2y)²-4z²a²(a-b)+b²(b-a)-196a²b²+81x4次方y²4(x+2y)²-25(x-2y)²4(x+y+z)²-9(x-y-z)²急等着用
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![因式分解问题(x+2y)²-4z²(x+2y)²-4z²a²(a-b)+b²(b-a)-196a²b²+81x4次方y²4(x+2y)²-25(x-2y)²4(x+y+z)²-9(x-y-z)²急等着用](/uploads/image/z/14765472-0-2.jpg?t=%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%E9%97%AE%E9%A2%98%28x%2B2y%29%26%23178%3B-4z%26%23178%3B%28x%2B2y%29%26%23178%3B-4z%26%23178%3Ba%26%23178%3B%EF%BC%88a-b%EF%BC%89%2Bb%26%23178%3B%EF%BC%88b-a%EF%BC%89-196a%26%23178%3Bb%26%23178%3B%2B81x4%E6%AC%A1%E6%96%B9y%26%23178%3B4%EF%BC%88x%2B2y%EF%BC%89%26%23178%3B-25%EF%BC%88x-2y%29%26%23178%3B4%28x%2By%2Bz%29%26%23178%3B-9%28x-y-z%29%26%23178%3B%E6%80%A5%E7%AD%89%E7%9D%80%E7%94%A8)
因式分解问题(x+2y)²-4z²(x+2y)²-4z²a²(a-b)+b²(b-a)-196a²b²+81x4次方y²4(x+2y)²-25(x-2y)²4(x+y+z)²-9(x-y-z)²急等着用
因式分解问题(x+2y)²-4z²
(x+2y)²-4z²
a²(a-b)+b²(b-a)
-196a²b²+81x4次方y²
4(x+2y)²-25(x-2y)²
4(x+y+z)²-9(x-y-z)²
急等着用
因式分解问题(x+2y)²-4z²(x+2y)²-4z²a²(a-b)+b²(b-a)-196a²b²+81x4次方y²4(x+2y)²-25(x-2y)²4(x+y+z)²-9(x-y-z)²急等着用
解
(x+2y)²-4z²
=(x+2y)²-(2z)²
=(x+2y-2z)(x+2y+2z)
a²(a-b)+b²(b-a)
=a²(a-b)-b²(a-b)
=(a-b)(a²-b²)
=(a-b)(a-b)(a+b)
=(a-b)²(a+b)
-196a²b²+81x^4y²
=(9x²y)²-(14ab)²
=(9x²y-14ab)(9x²y+14ab)
4(x+2y)²-25(x-2y)²
=[2(x+2y)]²-[5(x-2y)]²
=[2(x+2y)-5(x-2y)][2(x+2y)+5(x-2y)]
=(14y-3x)(7x-6y)
4(x+y+z)²-9(x-y-z)²
=[2(x+y+z)]²-[3(x-y-z)]²
=[2(x+y+z)-3(x-y-z)][2(x+y+z)+3(x-y-z)]
=(5y-x+5z)(5x-y-z)
(x+2y)²-4z²
=[(x+2y)+2z]*[(x+2y)-2z]
=(x+2y+2z)(x+2y-2z)
a²(a-b)+b²(b-a)
=a²(a-b)-b²(a-b)
=(a-b)(a²-b²)
=(a-b)(a+b)(a-b)
=(a-b...
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(x+2y)²-4z²
=[(x+2y)+2z]*[(x+2y)-2z]
=(x+2y+2z)(x+2y-2z)
a²(a-b)+b²(b-a)
=a²(a-b)-b²(a-b)
=(a-b)(a²-b²)
=(a-b)(a+b)(a-b)
=(a-b)²(a+b)
-196a²b²+81x4次方y²
=81x4次方y²-196a²b²
=(9x²+14ab)(9x²-14ab)
4(x+2y)²-25(x-2y)²
=[2(x+2y)+5(x-2y)]*[2(x+2y)-5(x-2y)]
=(7x-6y)(-3x+12y)
4(x+y+z)²-9(x-y-z)²
=[2(x+y+z)+3(x-y-z)]*[2(x+y+z)-3(x-y-z)]
=(5x-y-z)(-x+5y+5z)
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