Question

分解因式x^6-64y^6

Answer 1

x^6-64y^6
=(x³)²-(8y³)²
=(x³+8y³)(x³-8y³)
=(x+2y)(x²-2xy+4y²)(x-2y)(x²+2xy+4y²)

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Answer 2

解：x^6--64y^6=(x^3+8y^3)(x^3--8y^3)
=(x+2y)(x^2--2xy+4y^2)(x--2y)(x^2+2xy+4y^2)．

Answer 3

原式=(x²)³-(4y²)³
=(x²-4y²)(x⁴+4x²y²+16y⁴)
=(x+2y)(x-2y)(x⁴+8x²y²+16y⁴-4x²y²)
=(x+2y)(x-2y)[(x²+4y²)²-4x²y²]
=(x+2y)(x-2y)(x²+4y²+2xy)(x²+4y²-2xy)

Answer 4

x^6-64y^6=（x³-8y³）（x³+8y³）
=(x-2y)(x²+2xy+4y²)(x+2y)(x²-2xy+4y²)

Answer 5

解:原式=(x^3+8y^3)(x^3-8y^3)
=(x+2y)(x-2y)(x^2-2xy+4y^2)(x^2+2xy+4y^2)