Bài 5B a, 91 ³ + 3 . 91 ² . 9 + 3 . 91 . 9 ² + 9 ³ b, 1001 ³ c, 102 ³ – 6 . 102 ² + 12 . 102 – 8

Bài 5B
a, 91 ³ + 3 . 91 ² . 9 + 3 . 91 . 9 ² + 9 ³
b, 1001 ³
c, 102 ³ – 6 . 102 ² + 12 . 102 – 8

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  1. a,91 ³ + 3 . 91 ² . 9 + 3 . 91 . 9 ² + 9 ³

    `=(91 + 9)^3`

    `=100^3`

    `=1000000`

    `b, 1001 ³`

    `=(1000 + 1)^3`

    `=1000^(3) + 3.1000^(3).1 + 3.1000.1^(3) + 1^3`

    `=1003003001`

    `c, 102 ³ – 6 . 102 ² + 12 . 102 – 8`

    `=102^(3) – 3.102^(2).2 + 6.102.2^(2) – 2^3`

    `=(100-2)^3`

    `=100^3`

    `=1000000`

    `#Study well`

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  2. `a) 91^3 + 3.91^{2}.9 + 3.91.9^{2} + 9^3`

    `= (91 + 9)^3`

    `= 100^3`

    `= 1000000`

    `b) 1001^3`

    `= (1000 + 1)^3`

    `= 1000^3 + 3.1000^{2}.1 + 3.1000.1 + 1`

    `= 1003003001`

    `c) 102^3 – 6.102^2 + 12.102 – 8`

    `= 102^3 – 3.102^{2}.2 + 3.102.2^2 – 2^3`

    `= (102 – 2)^3`

    `= 100^3`

    `= 1000000`

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