Mathematical a cube b cube formula is explained for better understanding of students and aspirants and it will help you to learn as explained in detail with examples. Here is the formula for a³ + b³ and a³ − b³ in a simple and clear format:

✅ a³ + b³ Formula:

a3+b3=(a+b)(a2−ab+b2)a^3 + b^3 = (a + b)(a^2 – ab + b^2)

🔹 Example:

If a=2a = 2 and b=3b = 3, then:

23+33=(2+3)(22−2×3+32)=5(4−6+9)=5×7=352^3 + 3^3 = (2 + 3)(2^2 – 2×3 + 3^2) = 5(4 – 6 + 9) = 5 × 7 = 35

✅ a³ − b³ Formula:

a3−b3=(a−b)(a2+ab+b2)a^3 – b^3 = (a – b)(a^2 + ab + b^2)

🔹 Example:

If a=5a = 5 and b=2b = 2, then:

53−23=(5−2)(52+5×2+22)=3(25+10+4)=3×39=1175^3 – 2^3 = (5 – 2)(5^2 + 5×2 + 2^2) = 3(25 + 10 + 4) = 3 × 39 = 117