因式分解x平方-6xy+9y平方-10x+30y+25

问题描述:

因式分解x平方-6xy+9y平方-10x+30y+25

x²-6xy+9y²-10x+30y+25
=(x-3y)²-10(x-3y)+25
=[(x-3y)-5]²
=(x-3y-5)²

原式=x2-6xy+9y2-10x+30y+25
=(x-3y)2-10(x-3y)+25
=(x-3y-5)2

x²-6xy+9y²-10x+30y+25
=(x-3y)²-(10x-30y)+25
=(x-3y)²-10(x-3y)+25
=(x-3y-5)²

x²-6xy+9y²-10x+30y+25=(x-3y)²-2×5(x-3y)+5²=(x-3y-5)²