Polynomials

Question 1

Algebraic identities

Answer 1

(a+b)2 = a2+2ab+b2
(a−b)2=a2−2ab+b2

Question 2

Identities

Answer 2

(x+a)(x+b) = x2+(a+b)x+ab
a2−b2 = (a+b)(a−b)

Question 3

Identities

Answer 3

a3−b3 = (a−b)(a2+ab+b2)
a3+b3 = (a+b)(a2−ab+b2)

Question 4

Identities

Answer 4

(a+b)3 = a3+3a2b+3ab2+b3
(a−b)3 = a3−3a2b+3ab2−b3