Question

Show that : a³+b³ = (a+b) (a²- ab + b²)​

Answer 1

Step-by-step explanation:

a³+b³

= (a+b)³ - 3a²b -3b²a

= (a+b)³ - 3ab( a+b)

= ( a+b) [ ( a+b) ² -3ab ]

= (a+b) [ a²+b²+2ab -3ab ]

= (a+b) ( a²-ab+b²)

Answer 2

Answer:

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

= a3 -a2b +ab2 +a2b -ab2+b3

(-a2b +a2b-ab2+ab2 will be cutted so )

a3+b3

(a3+b3)= (a3+b3)