Question
Simplify the given expression [(15 × 15 × 15 – 5 ×
5 × 5)/(15 2 + 5 2 + 75)].Solution
a3 – b3 = (a – b) × (a2 + b2 + ab) So, [(15 × 15 × 15 – 5 × 5 × 5)/(152 + 52 + 75)] = {[(15 – 5) × (152 + 52 + 15 × 5)]/(152 + 52 + 75)} = {[10 × (152 + 52 + 75)]/(152 + 52 + 75)} = 10
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