Question

(x+1)*(x+2)+(x+2)*(x+3)​

Answer 1

Răspuns:

1. (x+1)(x+2)+(x+2)(x+3)= x^2+3x+2+x^2+5x+6= 2x^2+8x+8

Answer 2

Răspuns:

restrans =  2(x+2)²  sau calculat =  2x²+8x+8

Explicație pas cu pas:

(x+1)·(x+2)+(x+2)·(x+3)​ =

= (x+2)·(x+1+x+3) = (x+2)·(2x+4) = 2(x+2)(x+2) = 2(x+2)²

Am dat factor comun pe x+2 ; pe urma pe 2

varianta II

(x+1)·(x+2)+(x+2)·(x+3)​ = x²+3x+2+x²+5x+6 = 2x²+8x+8 =

= 2(x²+4x+4) = 2(x+2)²