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Simplify: 0.75×0.75×0.750.1×0.1×0.10.75×0.75+0.75×0.1+0.1×0.1\dfrac{0.75 \times 0.75 \times 0.75 - 0.1 \times 0.1 \times 0.1}{0.75 \times 0.75 + 0.75 \times 0.1 + 0.1 \times 0.1}

Simplify: 0.75×0.75×0.750.1×0.1×0.10.75×0.75+0.75×0.1+0.1×0.1\dfrac{0.75 \times 0.75 \times 0.75 - 0.1 \times 0.1 \times 0.1}{0.75 \times 0.75 + 0.75 \times 0.1 + 0.1 \times 0.1}

  1. 0.650.65

  2. 0.850.85

  3. 0.750.75

  4. 0.550.55

Show answer & explanation

Correct answer

0.650.65

Explanation

This fits the identity a3b3a2+ab+b2=ab\dfrac{a^3-b^3}{a^2+ab+b^2} = a-b with a=0.75a=0.75 and b=0.1b=0.1, giving 0.750.1=0.650.75-0.1=0.65.

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