Question

(a+b)^3-(a-b)^3 : factorise ​

Answer 1

Answer:

Since both terms are perfect cubes, factor using the difference of cubes formula

a3−b3=(a−b)(a2+ab+b2) a 3 - b 3

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

a = a + b b=a−b

Answer 2

Answer:

$(a+b)^{3} = a^3 + b^3 + 3a^2b + 3ab^2\\\\(a-b)^{3} = a^3 - b^3 - 3a^2b + 3ab^2\\\\Subtracting both\\\\(a+b)^{3} - (a-b)^{3} = 2b^3 + 6a^2b \\\\= 2b(b^2 + 3a^2)$