Question

what is formula for a3 - b3?​

Answer 1

Answer:

take care dude

Step-by-step explanation:

We can derive the above using identity (a−b)3

(a−b)3=a3−3a2b+3ab2−b3(a−b)3=a3−3a2b+3ab2−b3

(a−b)3=a3−3ab(a−b)−b3(a−b)3=a3−3ab(a−b)−b3

(a−b)3+3ab(a−b)=a3−b3(a−b)3+3ab(a−b)=a3−b3

(a−b)[(a−b)2+3ab]=a3−b3(a−b)[(a−b)2+3ab]=a3−b3

(a−b)[a2−2ab+b2+3ab]=a3−b3(a−b)[a2−2ab+b2+3ab]=a3−b3

(a−b)[a2+ab+b2]=a3−b3

Answer 2

Answer:

a3 – b3 = (a – b) (a2 + ab + b2 ).