Question

Give the kinds of special products

Answer 1

Special Products involving Squares

a(x + y) = ax + ay (Distributive Law)

(x + y)(x − y) = x2 − y2 (Difference of 2 squares)

(x + y)2 = x2 + 2xy + y2 (Square of a sum)

(x − y)2 = x2 − 2xy + y2 (Square of a difference)

Special Products involving Cubes

(x + y)3 = x3 + 3x2y + 3xy2 + y3 (Cube of a sum)

(x − y)3 = x3 − 3x2y + 3xy2 − y3 (Cube of a difference)

(x + y)(x2 − xy + y2) = x3 + y3 (Sum of 2 cubes)

(x − y)(x2 + xy + y2) = x3 − y3 (Difference of 2 cubes)