Question

Factorize (a+b)^3-(a-b)^3
50 points question
Correct answer will be marked brainliest and will give 5 star rating.

Answer 1

Solution

${(a + b)}^{3} - {(a - b)}^{3} \: \\ \\ = {a}^{3} + {b}^{3} + 3 {a}^{2} b + 3a {b}^{2} - ( {a}^{3} - {b}^{3} + 3a {b}^{2} - 3 {a}^{2}b) \\ \\ = {a}^{3} + {b}^{3} + 3 {a}^{2} b + 3a {b}^{2} - {a}^{3} + {b}^{3} - 3a {b}^{2} + 3 {a}^{2} b \\ \\ = 6 {a}^{2} b + 2 {b}^{3} \\ \\ = 2b(3 {a}^{2} + {b}^{2} )$

Answer 2

Answer:

2b (b^2 + 3 a^2)

Step-by-step explanation: