Question

If p and q are the roots of x2+2x+1 then the values of p3+q3 becomes ?

Answer 1

From the equation,
$p + q = - 2. \: \: \: pq = 1$
${p}^{3} + {q}^{3} = {(p + q)}^{3} - 3pq(p + q) \\ = { (- 2)}^{3} - 3 \times 1 \times - 2 = - 2$