Question

Factories 27a^3-8b^3

Answer 1

Answer:

Step-by-step explanation:

(27 • (a³)) +  2³b³

3³a³ +  2³b³

(a+b) • (a2-ab+b2)

Proof  : (a+b) • (a2-ab+b2) =  

   a³-a²b+ab²+ba²-b²a+b³ =

   a³+(a²b-ba²)+(ab²-b²a)+b³=

   a³+0+0+b³=

   a³+b³

Check :  27  is the cube of  3  

Check :  8  is the cube of   2  

Check :  a³ is the cube of   a1

Check :  b³ is the cube of   b1

Factorization is :

            (3a + 2b)  •  (9a² - 6ab + 4b²)

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