Answer:

4m⁴ - 4n²m³ + n⁴m² + 2m⁴n³.

Step-by-step explanation:

• Let's simplify the expression:First, let's expand the square of the binomial 2m² - n²m:
• (2m² - n²m)² = (2m²)² - 2(2m²)(n²m) + (n²m)² = 4m⁴ - 4n²m³ + n⁴m²
• Now we can substitute this back into the original expression: (2m²-n²m)²+2m⁴n³ = (4m⁴ - 4n²m³ + n⁴m²) + 2m⁴n³
• = 4m⁴ - 4n²m³ + n⁴m² + 2m⁴n³ Therefore, the simplified expression is:
• Therefore, the simplified expression is:4m⁴ - 4n²m³ + n⁴m² + 2m⁴n³.

Verified answer

(2m²-n²m)²+2m⁴n³

As we know (a-b)²=a²-2ab+b²

(4m⁴+2×2m²×n²m+n⁴m²)+2m⁴n³

4m⁴+4m³n²+n⁴m²+2m⁴n³

2m³(2m+2n²+mn³)+n⁴m²