1.a(x²-2x)²-2ax(2-x)+a2.简便计算:201²-52²+253×8513.三分之二b-九分之一b²4.(ax+by)²-2acxz-2bcyz+c²z²5.(a+2b)四次方-(a-2b)四次方
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![1.a(x²-2x)²-2ax(2-x)+a2.简便计算:201²-52²+253×8513.三分之二b-九分之一b²4.(ax+by)²-2acxz-2bcyz+c²z²5.(a+2b)四次方-(a-2b)四次方](/uploads/image/z/2657810-2-0.jpg?t=1.a%28x%26sup2%3B-2x%29%26sup2%3B-2ax%282-x%29%2Ba2.%E7%AE%80%E4%BE%BF%E8%AE%A1%E7%AE%97%EF%BC%9A201%26sup2%3B-52%26sup2%3B%2B253%C3%978513.%E4%B8%89%E5%88%86%E4%B9%8B%E4%BA%8Cb-%E4%B9%9D%E5%88%86%E4%B9%8B%E4%B8%80b%26sup2%3B4.%28ax%2Bby%29%26sup2%3B-2acxz-2bcyz%2Bc%26sup2%3Bz%26sup2%3B5.%28a%2B2b%29%E5%9B%9B%E6%AC%A1%E6%96%B9-%EF%BC%88a-2b%EF%BC%89%E5%9B%9B%E6%AC%A1%E6%96%B9)
1.a(x²-2x)²-2ax(2-x)+a2.简便计算:201²-52²+253×8513.三分之二b-九分之一b²4.(ax+by)²-2acxz-2bcyz+c²z²5.(a+2b)四次方-(a-2b)四次方
1.a(x²-2x)²-2ax(2-x)+a
2.简便计算:201²-52²+253×851
3.三分之二b-九分之一b²
4.(ax+by)²-2acxz-2bcyz+c²z²
5.(a+2b)四次方-(a-2b)四次方
1.a(x²-2x)²-2ax(2-x)+a2.简便计算:201²-52²+253×8513.三分之二b-九分之一b²4.(ax+by)²-2acxz-2bcyz+c²z²5.(a+2b)四次方-(a-2b)四次方
1.原式=a[(x^2 - 2x)^2 - 2x(2-x) + 1]
=a[(x^2 - 2x)^2 + 2(x^2 - 2x) + 1]
=a[(x^2 - 2x) + 1]^2
=a(x^2 - 2x + 1)^2
=a(x-1)^4
2.原式=(201+52)(201-52) + 253×851
=253×149 + 253×851
=253×(149 + 851)
=253×1000
=253000
3.原式=(b/9)(6-b)
4.原式=(ax+by)^2 - 2cz(ax+by) + c^2z^2 =(ax + by - cz)^2
5.原式=[(a+2b)^2 + (a-2b)^2][(a+2b)^2 - (a-2b)^2]
=[(a+2b)^2 + (a-2b)^2][(a+2b)+(a-2b)][(a+2b)-(a-2b)]
=(a^2 + 4ab + 4b^2 + a^2 - 4ab + 4b^2)×(2a)×(4b)
=2(a^2 + 4b^2)×8ab
=16ab(a^2 + 4b^2)
1 a(x²-2x)²-2ax(2-x)+a
=a[(x²-2x)²-2x(2-x)+1]
=a[(x²-2x)²+2x(x-2)+1]
=a(x²-2x+1)²
=a(x-1)
2 201²-52²+2...
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1 a(x²-2x)²-2ax(2-x)+a
=a[(x²-2x)²-2x(2-x)+1]
=a[(x²-2x)²+2x(x-2)+1]
=a(x²-2x+1)²
=a(x-1)
2 201²-52²+253×851
=(201+52)(201-52)+253×851
=253×149+253×851
=253×(149+851)
=253000
3 (2b)/3-b²/9
=b/9(6-b)
4 (ax+by)²-2acxz-2bcyz+c²z²
=(ax+by)²-2cz(ax+by)+c²z²
=(ax+by-cz)²
5 (a+2b)⁴-(a-2b)⁴
=[(a+2b)²-(a-2b)²][(a+2b)²+(a-2b)²]
=16ab(a²+4b²)
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2.201²-52²+253×851
=(201+52)(201-52)+253×851
=253×149+253×851
=253×(149+851)
=253×1000
=253000
我还做作业。就弄这道吧