36(x-y)^2-16(y+x)^2 因式分解

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36(x-y)^2-16(y+x)^2 因式分解

36(x-y)^2-16(y+x)^2 因式分解
36(x-y)^2-16(y+x)^2 因式分解

36(x-y)^2-16(y+x)^2 因式分解
36(x-y)^2-16(y+x)^2
=(6x-6y+4x+4y)(6x-6y-4x-4y)
=(10x-2y)(2x-10y)
=4(5x-y)(x-5y)

36(x-y)^2-16(y+x)^2
=(6x-6y)^2-(4y+4x)^2
=(6x-6y+4y+4x)(6x-6y-4y-4x)
=(10x-2y)(2x-10y)
=4(5x-y)(x-5y)

36(x-y)^2-16(y+x)^2
=(6(x-y)+4(x+y))(6(x-y)-4(x+y))
=(10x-2y)(2x-10y)
=4(5x-y)(x-5y)

20x^2+20y^2-104xy