(x+y)^2-16(x-y)^2

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(x+y)^2-16(x-y)^2
(x+y)^2-16(x-y)^2

(x+y)^2-16(x-y)^2
第一种：用平方差公式 , 原式=(x+y)^2-(4(x-y))^2
=(x+y-4(x-y))(x+y+4(x-y))
=(5y-3x)(5x-3y)
第二种：全展开合并同类项,原式=x^2+y^2+2xy-16(x^2+y^2-2xy)
=-15x^2-15y^2+34xy
=(5y-3x)(5x-3y) 这一步比较十字相乘分解比较麻烦,需要不断凑数,完全平方公式才是最好的解法.
岁次 3月16 马克思普朗克

(5y-3x)(5x-3y)

(x+y)^2-16(x-y)^2=(x+y)^2-[4(x-y)]^2=[(x+y)-4(x-y)]*[(x+y)+4(x-y)]=(-3x+5y)*(5x-3y)=……

(X+Y)^2-(4(X-Y))^2
((X+Y)+4(X-Y))*((X+Y)-4(X-Y))
(5y-3x)(5x-3y)

(x+y)²-16(x-y)²
=(x+y)²-[4(x-y)]²
=[(x+y)+4(x-y)][(x+y)-4(x-y)]
=(x+y+4x-4y)(x+y-4x+4y)
=(5x-3y)(5y-3x)

(x+y)^2-16(x-y)^2
=[(x+y)-4(x-y)][(x+y)+4(x-y)]
=(x+y-4x+4y)(x+y+4x-4y)
=(5y-3x)(5x-3y)

x-y/x-x+y/y-(x+y)(x-y)/y² y/x=2 化简y(x+y)+(x+y)(x-y)-x^2 (x+y)^2-16(x-y)^2 (x+y)^2-16(x-y)^2 16-8（x-y)+(x-y)2 (x+y)(x-y)-(x-y)^2如题 (x+y)(x-y)-(x-y)^2 【2(x-y)(x-y)(x-y)-8(x-y)(x-y)(x+y)+6y(x-y)(x-y)]/2(x-y)(x-y) 因式分解x(x+y)(x-y)-x(x+y)^2 [(x-y)^2-(x+2y)(x-2y)]/y 计算:y-x分之x+y+x-y分之y-y-x分之2x-y (x-6y)(x+2y)+16y^2 因式分解（16x^4+y^4)(4x^2+y^2)(2x-y)(2x+y) (16x^4+y^4)(4x^2+y^2)(2x-y)(2x+y) x^2(x-y)+(y-x) x(x-y)2-(y-x)3 【(x-y)^2+(x+y)(x-y)】除以 2x [(x-y)²+(x+y)(x-y)]除以2x [2/3x-2/x+y(x+y/3x-x-y)]/x-y/x