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!
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