Question

Verify the identity a-b whole cube

Answer 1

Step-by-step explanation:

(a+b)^3 = (a+b)(a+b)(a+b)

= (a^2 + b^2 + 2ab)(a+b)

= (a^3 + ab^2 + 2a^2b)+(ba^2 + b^3 + 2ab^2)

= a^3 + b^3 + 3a^2b + 3ab^2

Answer 2

Answer:

${(a - b)}^{3} = {a}^{3} - {b}^{3} - 3ab(a - b)$

Step-by-step explanation:

$check \\ {(12 - 2)}^{3} \\ {10}^{3} = {12}^{3} - {2}^{3} - (3)(12)(2)(12 - 2) \\ 1000 = 1728 - 8 - 720 \\ 1000 = 1720 - 720 \\ 1000 = 1000 \\ hence \: proved$