ident. polynomiales

Question 1

a^3 −b^3

Answer 1

(a−b)(a^2 +ab+b^2)

Question 2

a^4 −b^4

Answer 2

(a−b)(a^3 +a^2b+ab^2 +b^3)

Question 3

a^5 −b^5

Answer 3

(a−b)(a^4 +a^3b+a^2b^2 +ab^3 +b^4)

Question 4

a^n - b^n

Answer 4

(a-b)( a^ (n-1) + a^ (n-2) b + a^ (n-3) b^2 + … + b^ (n-1))

Question 5

a^3 +b^3

Answer 5

(a+b)(a^2 −ab+b^2)

Question 6

a^5 +b^5

Answer 6

(a+b)(a^4 −a^3b+a^2b^2 −ab^3 +b^4)