Question

(x-2)^2+10(x-2)+25 ; x(x-y)-y(y-x) ;(x+1)(x+2)+1/4 分解因式

Answer 1

(x-2)²+10(x-2)+25
=[(x-2)+5]²
=(x+3)²

x(x-y)-y(y-x)
=x(x-y)+y(x-y)
=(x+y)(x-y)

(x+1)(x+2)+1/4
=(x+1)[(x+1)+1]+1/4
=(x+1)²+(x+1)+1/4
=[(x+1)+1/2]²
=(x+3/2)²

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