Question

Find the following
3³ - 2³ =​

Answer 1

Answer:

3³ = 3×3×3 = 27

2³ = 2×2×2 = 8

27 - 8 = 19

Answer 2

(a³ – b³) = (a – b)(a² + b² + ab)

So, 3³ - 2³ = (3 - 2)(3² + 2² + 3×2)

= 1 × (9 + 4 + 6)

= 1 × 19

= 19

Hence, 3³ - 2³ = 19.

Verify-

3³ - 2³ = 19

or, 27 - 8 = 19

or, 19 = 19

Hence, L.H.S = R.H.S