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(1)(a+b)^2-6(a+b)+9(2)(x-2)^2+10(x-2)+25(3)(z^2+1)^2-4z(z^2+1)+4z^2
题目详情
(1)(a+b)^2-6(a+b)+9
(2)(x-2)^2+10(x-2)+25
(3)(z^2+1)^2-4z(z^2+1)+4z^2
(2)(x-2)^2+10(x-2)+25
(3)(z^2+1)^2-4z(z^2+1)+4z^2
▼优质解答
答案和解析
(1)(a+b)^2-6(a+b)+9 =(a+b-2)^2
(2)(x-2)^2+10(x-2)+25 =(x-2+5)^2=(x+3)^2
(3)(z^2+1)^2-4z(z^2+1)+4z^2=(z^2+1-2z)^2=[(z-1)^2]^2=(z-1)^4
(2)(x-2)^2+10(x-2)+25 =(x-2+5)^2=(x+3)^2
(3)(z^2+1)^2-4z(z^2+1)+4z^2=(z^2+1-2z)^2=[(z-1)^2]^2=(z-1)^4
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