Question
If aĀ³ - bĀ³ = (a - b)(aĀ² + ab + bĀ²), find aĀ³ - bĀ³
when a = 10 and b = 4.Solution
Using the formula: aĀ³ - bĀ³ = (a - b)(aĀ² + ab + bĀ²) Substituting values: a - b = 10 - 4 = 6 aĀ² + ab + bĀ² = 10Ā² + 10 * 4 + 4Ā² = 100 + 40 + 16 = 156 aĀ³ - bĀ³ = 6 * 156 = 936 Correct Answer: d)
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