TKVviz
Answered

7. Which of the following is the same as a3 + b3?
A. (a + b) (a? - ab + b2)
B. (a + b) (a² + ab - ba)
C. (a - b) (a? - ab + b2)
D. (x -b) (a² + ab - b2) -​

Sagot :

Themetheviz

Answer:

A

Step-by-step explanation:

a³ + b³ = (a + b)(a² – ab + b²)

BECAUSE:

(a + b)³ = a³ + 3ab(a + b) + b³

then a³ + b³ = (a + b)³ – 3ab(a + b)

= (a + b)[(a + b)² – 3ab]

= (a + b)(a² + 2ab + b² – 3ab)

= (a + b)(a² – ab + b² )