数学计算与因式分解计算;(x-1/2)²(1/2+x)²因式分解:(x²-3)²-12(x²-3)+36

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数学计算与因式分解计算;(x-1/2)²(1/2+x)²因式分解:(x²-3)²-12(x²-3)+36

数学计算与因式分解计算;(x-1/2)²(1/2+x)²因式分解:(x²-3)²-12(x²-3)+36
数学计算与因式分解
计算;(x-1/2)²(1/2+x)²
因式分解:(x²-3)²-12(x²-3)+36

数学计算与因式分解计算;(x-1/2)²(1/2+x)²因式分解:(x²-3)²-12(x²-3)+36
(x-1/2)²(1/2+x)²
=[(x-1/2)(1/2+x)]²
=(x²-1/4)²
=x^4-1/2x²+1/16
(x²-3)²-12(x²-3)+36 (可将x²-3看成一个整体)
(x²-3)²-12(x²-3)+36
=[(x²-3)-6]²
=(x²-9)²
=[(x+3)(x-3)]²
=(x+3)²(x-3)²

(x-1/2)²(1/2+x)²={(x-1/2)(x+1/2)}^2=(x^2-1/4)^2=x^4-1/2x^2+1/16
(x²-3)²-12(x²-3)+36={(x^2-3)-6}^2=(x^2-9)^2=(x+3)²+(x-3)²

倾城一笑已千年,你好!

1、(x-1/2)²(1/2+x)²
=[(x-1/2)(1/2+x)]²
=(x²-1/4)²
=x^4-x²/2+1/16
2、(x²-3)²-12(x²-3)+36
=(x²-3-6)²
=(x²-9)²
=(x+3)²+(x-3)²