Question

Factories the following

Answer 1

┏_________∞◆∞_________┓

✭✮ӇЄƦЄ ƖƧ ƳƠƲƦ ƛƝƧƜЄƦ✮✭

┗_________∞◆∞_________┛

We know that,

a³+b³+c³-3abc = (a+b+c)(a²+b²+c²-ab-bc-ac)

In the given case,

a = a

b = -b

c = 1

-3ab = -3×a×(-b) = 3ab

Hence using the identity,

a³-b³+1+3ab = (a-b+1)(a² + (-b)² + (1)² - (a×-b) - (-b×1) - (a×1)

                     = (a - b + 1)(a² + b² + 1 + ab + b - a)

┏_________∞◆∞_________┓

✭Hòpè Ìt Hèĺp§✭  

┗_________∞◆∞_________┛