Question

7.- (m-n)(m-n)(m-n) =

Answer 1

Answer: m³ - 3m²n + 3mn² - n³ or

m³ -n³ -3m²n + 3mn² because mathematicians like their powers to be in order

Step-by-step explanation:

 Start with        (m-n)(m-n) = m² -2mn + n²  Then multiply (distribute)

(m-n)(m² -2mn + n²) to get

m³ -2m²n + mn²  -m²n + 2mn² - n³    

Combine like terms  -2m²n -m²n = -3m²n  and  mn² + 2mn² = +3mn²

"bring down"  m³ and -n³ and you have

m³ - 3m²n + 3mn² - n³