Question

Descompuneti in factori:$(x-3)^2+2(x-3)(x+2)+(x+2)^2$

Answer 1

(x-3)²+2(x-3)(x+2)+(x+2)²=

x²-2x•3+3²+2x²+4x-6x-12+x²+2x•2+2²=

x²-6x+9+2x²+4x-6x-12+x²+4x+4=

(x²+2x²+x²)+(-6x+4x-6x+4x)+(9-12+4)=

4x²-4x+1