Question

(x^3+1)+(x+1) factorise​

Answer 1

→ (x³+1)+(x+1)

={(x)³+(1)³}+(x+1)

=(x+1)(x²-x+1)+(x+1)

=(x+1)(x²-x+1+1)

=(x+1)(x²-x+2).

Answer 2

Answer:

=(x³+1) +(x+1)

=[{(x) ³+(1)³}+(x+1)}]

={(x+1)(x²+1²-x*1)+(x+1)} [ Since, a³+b³=(a+b) (a²+b²-ab) ]

={(x+1) (x²+1-x)+(x+1) }

=(x+1) (x²+1-x+1) [Taking (x+1) common]

= (x+1)(x²-x+2) {Ans}