因式分解 16ax^2-9ay^2 a(7x+8y)^2-25az^2 3a(a+b)^2-27ab^2 1/8(x-y)^3+8(y-x)

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因式分解 16ax^2-9ay^2 a(7x+8y)^2-25az^2 3a(a+b)^2-27ab^2 1/8(x-y)^3+8(y-x)

因式分解 16ax^2-9ay^2 a(7x+8y)^2-25az^2 3a(a+b)^2-27ab^2 1/8(x-y)^3+8(y-x)
因式分解 16ax^2-9ay^2 a(7x+8y)^2-25az^2 3a(a+b)^2-27ab^2 1/8(x-y)^3+8(y-x)

因式分解 16ax^2-9ay^2 a(7x+8y)^2-25az^2 3a(a+b)^2-27ab^2 1/8(x-y)^3+8(y-x)
16ax^2-9ay^2
=a(4X+3Y)(4X-3Y)
a(7x+8y)^2-25az^2
=a(7X+8Y+5Z)(7X+8Y-5Z)
3a(a+b)^2-27ab^2
=3a(a+b+3b)(a+b-3b)
=3a(a+4b)(a-2b)
1/8(x-y)^3+8(y-x)
=1/8(X-Y)^3-8(X-Y)
=1/8[(X-Y)^2-64]
=1/8(X-Y+8)(X-Y-8)