Simplify:(m2 – n2m)2 + 2m3n2 – InterviewSolution

1.	Simplify:(m2 – n2m)2 + 2m3n2
Answer» (m² – n²m)² + 2m³n² = (m²)² – 2 (m²) (n²) (m) + (n²m)² + 2m³n² = m⁴ – 2m³n² + (n²m)² + 2m³n² = m⁴+ n⁴m² – 2m³n² + 2m³n² = m⁴+ m²n⁴

Simplify:(m2 – n2m)2 + 2m3n2

Answer»

(m² – n²m)² + 2m³n²

= (m²)² – 2 (m²) (n²) (m) + (n²m)² + 2m³n²

= m⁴ – 2m³n² + (n²m)² + 2m³n²

= m⁴+ n⁴m² – 2m³n² + 2m³n²

= m⁴+ m²n⁴

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