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(a^3 + b^3)/(a^2 - ab + b^2) with decimals: equals a + b

This type of question, asked 2 times: 3 Feb 2022 Tier II, 7 Mar 2023 Tier II. All 2 questions below, oldest first.

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  1. Question 1

    3 Feb 2022 Tier II

    8
    The value of (2.53)3+(2.47)325.3×25.3−624.91+24.7×24.7\frac{(2.53)^3 + (2.47)^3}{25.3 \times 25.3 - 624.91 + 24.7 \times 24.7} is 5×10k5 \times 10^k, where the value of kk is:

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  2. Question 2

    7 Mar 2023 Tier II

    30
    The value of 0.7×0.7×0.7+0.3×0.3×0.30.7×0.7−0.7×0.3+0.3×0.3\frac{0.7 \times 0.7 \times 0.7 + 0.3 \times 0.3 \times 0.3}{0.7 \times 0.7 - 0.7 \times 0.3 + 0.3 \times 0.3} is ______.

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