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(a^3 - b^3)/(a^2 + ab + b^2) with numbers: simplify to a - b

The same question, asked 4 times: 10 Sep 2024 S2*, 11 Sep 2024 S2*, 18 Sep 2024 S2*, 24 Sep 2024 S2. Every wording below, oldest first.

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  1. Question 1

    10 Sep 2024 S2

    56
    Simplify 0.58×0.58×0.58−0.0010.58×0.58+0.058+0.01\frac{0.58 \times 0.58 \times 0.58 - 0.001}{0.58 \times 0.58 + 0.058 + 0.01}.

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  2. Question 2

    11 Sep 2024 S2

    66
    Simplify (4.2)3−(1.2)3(4.2)2+5.04+(1.2)2\frac{(4.2)^3 - (1.2)^3}{(4.2)^2 + 5.04 + (1.2)^2}

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  3. Question 3

    18 Sep 2024 S2

    52
    Simplify. (7.3)3−(4.7)3(7.3)2+7.3×4.7+(4.7)2\frac{(7.3)^3 - (4.7)^3}{(7.3)^2 + 7.3 \times 4.7 + (4.7)^2}

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  4. Question 4

    24 Sep 2024 S2

    59
    Find the value of (453×453×453−383×383×383)(453×383+383×383+453×453)\frac{(453 \times 453 \times 453 - 383 \times 383 \times 383)}{(453 \times 383 + 383 \times 383 + 453 \times 453)}.

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