Question

(a+b)^3-8(a-b)^3 please tell the solution

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Answer 1

Answer:

above is your answer hope it helps

Answer 2

Step-by-step explanation:

(a+b)-8(a-b)

=(a+b)-[2(a−b)]

= (a + b)²-(2a-2b)

[Using a - b =(a-b)(a² + ab + b²)]

=(a+b-(2a-2b)) ((a+b)²+(a+b)(2a-2b)+(2a-2b)²)

=(a+b-2a+2b) (a²+ b² + 2ab +(a+b)(2a-2b)+(2a-2b)³) [:'(a+b)² = a² + b² + 2ab]

=(3b-a)(a² + b² + 2ab +2a² - 2ab + 2ab-2b²+(2a-2b)²)

=(3b-a) (3a²+2ab-b²+ ²+(2a-2b)²)

=(3b-a) (3a²+2ab-b²+4a² +4b²-8ab)

[(a−b)² = a² + b² - 2ab]

= (3b-a) (3a²+4a²-b² +4b² + 2ab-8ab)

=(3b-a)(7a²+3b²-6ab)

(a+b)-8(a−b) = (-a + 3b)(7a²-6ab+3b²)