Question

Escreva na forma fatorada o seguinte polinômio: cx² - c + a x² - a

Answer 1

Resposta:

$cx^2 - c + a x^2 - a\\\\=c\left(x^2-1\right)+ax^2-a\\\\=ax^2+c\left(x+1\right)\left(x-1\right)-a\\\\=c\left(x+1\right)\left(x-1\right)+a\left(x+1\right)\left(x-1\right)(forma fatorada)\\\\=\left(1+x\right)\left(-1+x\right)\left(c+a\right)$