16(x+y)的平方-36(x-y)的平方

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16(x+y)的平方-36(x-y)的平方

16(x+y)的平方-36(x-y)的平方
16(x+y)的平方-36(x-y)的平方

16(x+y)的平方-36(x-y)的平方
=[4(x+y)+6(x-y)][4(x+y)-6(x-y)]
=(10x-2y)(-2x+10y)
=-4(5x-y)(x-5y)

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

[4(x+y)]^2-[6(x-y)]^2
=[4(x+y)+6(x-y)][4(x+y)-6(x-y)]
=(10x-2y)(-2x+10y)
=4(5x-y)(-x+5y)
=4(-5x^2+25xy+xy-5y^2)
=-20x^2+104xy-20y^2