Question

(a+2b)a^3-(b+2a)b^3​

Answer 1

a^4+2ba^3-b^4-2ab^3
This is the final answer

Answer 2

Answer:

Step-by-step explanation:

(a+2b)a^3-(b+2a)b^3​

= (a² + 2ab)³ - (b² + 2ab)³

= (a² + 2ab - b² - 2ab){(a² + 2ab)² + (b² + 2ab)² + (a² + 2ab)(b² + 2ab)}

= (a² - b²)(a^4 + 4a²b² + 4a²b + b^4 + 4a²b² + 4ab² + a²b² + 2a³b + 2ab³ + 4a²b²)           {using a³ - b³ formula}

= (a + b)(a - b)(a^4 + b^4 + 13a²b² + 2a³b + 2ab³ + 4a²b + 4ab²)