Question

Match the pairs of polynomials to their products.

Answer 1

Answer:

(x + 3y) and (x – 3y) ------x2 – 9y2

(x2 + 3xy – 2) and (xy + 3)-------x3y + 3x2 + 3x2y2 + 7xy – 6

(2xy + x + y) and (3xy2 – y)------6x2y3 – 2xy2 + 3x2y2 – xy + 3xy3 – y2

(xy + 3x + 2) and (xy – 9)-------x2y2 + 3x2y – 7xy – 27x – 18

Step-by-step explanation:

Answer 2

(x+3y) (x-3y) = x^2 9y^2
(x-y) (x+3y) = x^2+2xy-3y^2
(xy+9y+2) (xy-3) =  x^2 y^2 +9xy^2-xy-27y-6
(x^2+3xy-2) ( xy+3) = x^3 y+3x^2 y^2 +7xy-6
(2xy+x+y) (3xy^2-y) = 6x^2 y^3 +3x^2 y^2 +xy^2-2xy^2-xy-y^2
(xy+3x+2) ( xy-9) =  x^2 y^2 +3x^2 y -7xy-27x-18