Evaluate: (5m - 2n)(5m + 2n)(25m2 + 4n2) - Mathematics

Evaluate: (5m - 2n)(5m + 2n)(25m² + 4n²)

Sum

(5m - 2n)(5m + 2n)(25m² + 4n²)

= {5m (5m + 2n) - 2n(5m + 2n)} (25m² + 4n²)

= (25m² + 10mn - 10mn - 4n²)(25m² + 4n²)

= (25m² - 4n²)(25m² + 4n²)

= 25m² (25m² + 4n²) - 4n² (25m² + 4n²)

= 625m⁴ + 100m²n² - 100m²n² - 16n⁴

= 625m⁴ - 16n⁴

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Chapter 11: Fundamental Concepts (Including Fundamental Operations) - Exercise 11 (C)

Chapter 11 Fundamental Concepts (Including Fundamental Operations)
Exercise 11 (C) | Q 5.5