Question

find the factors - m³ + 27​

Answer 1

Answer:

${m}^{3} + 27 \\ using \: identity \: \\ {a}^{3} + {b}^{3} = (a + b)( {a}^{2} - ab + {b}^{2} ) \\ we \: get \: \\ m^{3} + 27 = (m + 3)( {m}^{2} - 3m + 9)$

so, m = -3

Answer 2

Step-by-step explanation:

m^3 + 3^3 = (m+3)^3 - (9m)(m+3)

= (m+3)[ m^2 + 6m + 9 - 9m]

= (m+3)[m^2-3m+9]

so m = -3

m = (3+5i)/2 ; (3-5i)/2