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Simplify: (3.2)3−(1.8)3(3.2)2+3.2×1.8+(1.8)2\frac{(3.2)^3 - (1.8)^3}{(3.2)^2 + 3.2 \times 1.8 + (1.8)^2}.

  1. 1.41.4

  2. 1.81.8

  3. 3.23.2

  4. 5.05.0

Show answer & explanation

Correct answer

1.41.4

Explanation

Using a3−b3=(a−b)(a2+ab+b2)a^3 - b^3 = (a-b)(a^2+ab+b^2), the expression reduces to a−b=3.2−1.8=1.4a-b = 3.2 - 1.8 = 1.4.

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