Mathematics Formulas

1. Formulas for Basic mathematics 

•  (a+b)^2 = a^2 + 2ab + b^2
• Detailed Understandings
• (a+b) * (a+b)
1. a*a + a*b + b*a + b*b
2. a^2 + 2ab + b^2

•  (a-b)^2 = a^2 - 2ab + b^2
• Detailed Understandings
• (a-b) * (a-b)
1. a*a - a*b - b*a + b*b
2. a^2 - 2ab + b^2

• (a+b)^3  = a^3 + b^3 + 3ab(a+b)
• Detailed Understandings
• (a+b)*(a+b)*(a+b)
• (a^2 + 2ab + b^2)* (a+b)                         >> Using (a+b)^2 formula
• a3 + 2a^2b + ab^2 + ba^2 + 2ab^2 + b^3
• a^3 + b^3 + 3a^2b + 3ab^2 + b^3
• a^3 + b^3 + 3ab(a+b)

How a^0 = 1 is derived?

a^0 

1) a^(1-1)

a^1 / a^1 = 1 

Hence this is derived a^0 = 1