(x²+4x+6)(x²+6x+6)+x²
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![(x²+4x+6)(x²+6x+6)+x²](/uploads/image/z/1583722-10-2.jpg?t=%EF%BC%88x%26%23178%3B%EF%BC%8B4x%EF%BC%8B6%EF%BC%89%EF%BC%88x%26%23178%3B%EF%BC%8B6x%EF%BC%8B6%EF%BC%89%EF%BC%8Bx%26%23178%3B)
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(x²+4x+6)(x²+6x+6)+x²
(x²+4x+6)(x²+6x+6)+x²
(x²+4x+6)(x²+6x+6)+x²
=(x^2+5x+6-x)(x^2+5x+6+x)+x^2
=(x^2+5x+6)^2-x^2+x^2
=(x^2+5x+6)^2
=(x+2)^2(x+3)^2
你确定你说清楚了
原式=[(x^2+6)+4x][(x^2+6)+6x]+x^2=(x^2+6)^2+10x(x^2+6)+25x^2
=[(x^2+6)+5x]^2=(x^2+5x+6)^2=[(x+2)(x+3)]^2=[(x+2)^2]*[(x+3)^2]