[(8/3+15/4)(8/3-15/4)+(8/3-15/4)^2]/(15/4-8/3)

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[(8/3+15/4)(8/3-15/4)+(8/3-15/4)^2]/(15/4-8/3)
[(8/3+15/4)(8/3-15/4)+(8/3-15/4)^2]/(15/4-8/3)

[(8/3+15/4)(8/3-15/4)+(8/3-15/4)^2]/(15/4-8/3)
=[(8/3)²-(15/4)²+(15/4)²+(8/3)²-2(8/3)(15/4)]/(15/4-8/3)
=[2(8/3)²-2(8/3)(15/4)]/(15/4-8/3)
=2(8/3)(8/3-15/4))/(15/4-8/3)
=-16/3

={【(8/3)²-(15/4)²】+【(8/3)²-2(8/3)(15/4)+(15/4)²】}/【(15/4)-(8/3)】
= -【2(8/3)² - 2(8/3)(15/4)】/【(15/4)-(8/3)】
= -2(8/3)【(8/3)-(15/4)】【(15/4)-(8/3)】
= 2(8/3)
=16/3