Question

Reduza cada fração algébrica a um polinômio:
a) a²+6a+9 / 2a+6
b) x²-1 / x²-2x+1

Answer 1

a²+6a+9 / 2a+6

(a+3)² / 2(a+3)

(a+3)(a+3) / 2(a+3)

a+3 / 2

x²-1 / x²-2x+1

(x+1)(x-1) / (x-1)²

(x+1)(x-1) / (x-1)(x-1)

x+1 / x-1

Answer 2

a)

$\frac{{a}^{2}+6a+9}{2a+6} \\ \frac{{(a+3)}^{2}}{2(a+3)}$

$\frac{a+3}{2}$

b)

$\frac{{x}^{2}-1}{{x}^{2}-2x+1}\\ \frac{(x-1)(x+1)}{{(x-1)}^{2}}$

$\frac{x+1}{x-1}$