I need an equivalent expression by applying the distributive property or area model to these equations.

Question

a. (x+2)(x+9)

b. (x+4)(2x-1)

c. (x-5)^2

Answer 1

(x+2)(x+9) = x^2 +2x +9x + 18 = x^2 +11x + 18

(x+4)(2x-1)= 2x^2 +8x -x -4 = 2x^2 +7x -4

(x-5)^2 = (x-5)(x-5) = x^2 -5x-5x +25 = x^2 -10x +25

Use FOIL