Question

Como chegar a x(x+1)² + (x+1)² a partir de (x+1)³

Answer 1

Resposta:

Parece ser bem difícil esse app n ajuda

Answer 2

$\displaystyle( \text x +1)^3 \\\\ (\text x+1)(\text x+1 )^2 \\\\ \underline{\text{fazendo a distributiva }}: \\\\ \huge\boxed{\text x(\text x+1)^2 + ( \text x+1) \ }\checkmark$

Obs : Se estiver com dificuldade de enxergar faça uma troca de variável, tipo :

$(\text x+1)^3 = (\text x+1)(\text x+1)^2 \\\\ \underline{\text {fa{\c c}amos}}: \\\\ (\text x+1)^2 = \text a \\\\ \therefore \\\\ (\text x+1).\text a = \text {x.a}+1.\text a \\\\ \underline{\text{desfazendo a troca de vari{\'a}vel }}: \\\\ \text x(\text x+1)^2+( \text x+1)$