Question

(m² - n) (m² + n²) - m (m² - n) - mn²=-n^4

Answer 1

m⁴+m²n²-m²n-n³-m³+mn-mn²=-n⁴

m⁴+m²n²-m²n-n³-m³+mn-mn²+n⁴=1

Answer 2

To simplify the given expression, let's expand each term:

(m² - n) (m² + n²) - m (m² - n) - mn²

Expanding the first term (m² - n) (m² + n²): = (m²) (m² + n²) + (-n) (m² + n²) = m^4 + mn^2 - m^2n - n^3

Expanding the second term - m (m² - n): = -m (m²) + m (n) = -m^3 + mn

Substituting the expanded terms back into the expression:

(m^4 + mn^2 - m^2n - n^3) - (-m^3 + mn) - mn²

Now, let's simplify further by combining like terms:

= m^4 + mn^2 - m^2n - n^3 + m^3 - mn - mn²

Combining the terms with 'n' and 'm' respectively:

= m^4 + m^3 + mn^2 - m^2n - mn² - n^3 - mn

Now, let's rearrange the terms:

= m^4 + m^3 - m^2n + mn^2 - mn² - n^3 - mn

We can see that the expression doesn't simplify to -n^4, so it appears that there may be an error in the given expression or a mistake was made in the simplification process. Please review the expression and ensure its accuracy.