Question

(a+b)^3-(a-b)^3factorise
​

Answer 1

Answer:

$(a + b) {}^{3} - (a - b) {}^{3} \\ a {}^{3} + b {}^{3} + 3ab {}^{2} + 3a {}^{2} b - a {}^{3} + b {}^{3} + 3a {?}^{2} b - 3ab {}^{2} \\ 2b {}^{3} + 6a {}^{2} b \\ 2b(b {}^{2} + 3a {}^{2} )$

Step-by-step explanation:

Hope it helps you.....❣️

please mark it as brainliest.....✌

Answer 2

Answer:

we know that , (a+b)³= a³+b³+3ab(a+b) = a³+b³+3a²b+3ab²

and (a-b)³= a³-b³-3ab(a-b) = a³-b³-3a²b+3ab²

Step-by-step explanation:

now (a+b)³-(a-b)³

= a³+b³+3a²b+3ab²-(a³-b³-3a²b+3ab²)

= a³+b³+3a²b+3ab²-a³+b³+3a²b-3ab²

a³-a³+b³+b³+3a²b+3a²b+3ab²-3ab²

=2b³+6a²b

=2b(b²+3a²)