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

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

25(x^2+y^2)^2-16(x^2-y^2)^2
25(x^2+y^2)^2-16(x^2-y^2)^2 =(5x^2+5y^2)^2-(4x^2-4y^2)^2 =(5x^2+5y^2+4x^2-4y^2)(5x^2+5y^2-4x^2+4y^2) =(9x^2+y^2)(x^2+9y^2)

有安全平方公式 a-b=(a+b)(a-b) ∴25(x+y)-16(x-y) =[5(x+y)]-[4(x-y)] =[5(x+y)+4(x-y)][5(x+y)-4(x-y)] =(9x+y)(x+9y) 满意谢谢5颗星采纳，不懂欢迎追问哦！

因式分解x(x+y)(x-y)-x(x+y)^2 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)(x-y)-(x-y)^2如题 (x+y)(x-y)-(x-y)^2 (x+y)^2-16(x-y)^2 (x+y)^2-16(x-y)^2 16-8（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) (12-2x)/X=(-16-2Y)/Y X^2+Y^2=25 Y x^2(x-y)+(y-x) x(x-y)2-(y-x)3 [2/3x-2/x+y(x+y/3x-x-y)]/x-y/x 化简：{2/3x-2/(x+y)[(x+y)/3x-x-y]}/(x+y)/x 计算2/3x-2/x+y(x+y/3x-x-y)/x-y/x 化简3x-2/(x+y)[(x+y)/3x-x-y]÷(x-y)/x 【(x-y)^2+(x+y)(x-y)】除以 2x [(x-y)²+(x+y)(x-y)]除以2x 计算:y-x分之x+y+x-y分之y-y-x分之2x-y