Question

Calcule : p² + pq + q² , para p = - 1/2 e q = 2/3 :

Answer 1

$p ^{2} + pq + q ^{2} \\ (- \frac{1}{2} )^2 + (- \frac{1}{2} ).( \frac{2}{3} ) + ( \frac{2}{3} )^2 \\ \frac{1}{4} - \frac{1}{3} + \frac{4}{9} = >> \frac{13}{36} <<$

Answer 2

(-1/2)^2 + (-1/2) * 2/3 + (2/3)^2 =

1/4 - 2/6 + 4/9 = (tirar o mínimo entre os denominadores)

4, 6, 9 |2 => 2, 3, 9 | 2 => 1, 3, 9 |3 => 1, 1, 3 |3 => 1, 1, 1 => 2 * 2 * 3 * 3 = 36

(1 * 36/4  -  2*36/6  +  4*36/9) / 36 =

(1 * 9  -  2*6  +  4*4) / 36 =

(9 -12 + 16) / 36 = 13/36