Question 651365
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Hi,  
(a + 5)^3 = (a+5)(a^2 + 10a + 25) 
          = a(a^2 + 10a + 25) +5(a^2 + 10a + 25)= a^3 + 15a^2 + 75a + 125 
According to the Bionomial Theorem:
*[tex \LARGE (a+5)^3 = {{3}\choose{0}}a^3 + {{3} \choose {1}}5a^2 + {{3}\choose{2}}5^2a + {{3}\choose{3}}5^3]
*[tex \LARGE (a+5)^3 = a^3 + 3*5a^2 + 3*25a + 125]
*[tex \LARGE (a+5)^3 = a^3 + 15a^2 + 75a + 125]