Question

factorise the following 8m^3+n^3+12m^2n+6mn^2​

Answer 1

Hey, there!

Here's the answer you are looking for.

8m³ + n³ + 12m²n + 6mn²

= (2m)³ + (n)³ + 3×(2m)²×(n) + 3×(2m)×(n)²

= (2m + n)³

[This is because, (a+b)³ = a³ + b³ + 3a²b + 3ab²]

Hope that helps.

Thanks.

Answer 2

Answer:

→8m³ + n³ + 12m²n + 6mn²

= (2m)³ +(n)³ +3×(2m)²×(n)+3×(2m)×(n)²

= (2m + n)³

Formula Used :-

→ (a+b)³ = a³ + b³ + 3a²b + 3ab²