Автор - irazarubina162

Помогите)Надо найти значение выражения

Ответ

Автор - m11m
а) 1/3 (8,57²-5,57²)-3*8,57*5,57=
=1/3 (8,57-5,57)(8,57²+8,57*5,57+5,57²)-3*8,57*5,57=
=1/3 * 3 *(8,57²+8,57*5,57+5,57²)-3*8,57*5,57=
=8,57²+8,57*5,57-3*8,57*5,57+5,57²
=8,57²-2*8,57*5,57+5,57²
=(8,57-5,57)²=3²=9

б) 1/9 (2,76³+6,24³)+3*2,76*6,24=
=1/9 (2,76+6,24)(2,76²-2,76*6,24+6,24²)+3*2,76*6,24=
=1/9*9 (2,76²-2,76*6,24+6,24²)+3*2,76*6,24=
=2,76²-2,76*6,24+3*2,76*6,24+6,24²=
=2,76²+2*2,76*6,24+6,24²=
=(2,76+6,24)²=9²=81

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