Question

Determine o valor da expressão.
= (2 + )(2 − )(3 + )(3 − )(8 + 6)(8 − 6)

Answer 1

                          Leis do Sinais

Vamos lembrar o seguinte:

• ( - a )( + b) = - (a)(b)

• ( + a )( - b) = - (a)(b)

• ( + a )( + b) = +(a)(b)

• ( - a )( - b) = - (a)(b)

Considerando isso, resolvemos o problema:

$( + 2)( - 2)( + 3)( - 3)(8 + 6)(8 - 6)\\\\= -(2)(2)( + 3)( - 3)(8 + 6)(8 - 6)\\\\= ( - 4)( + 3)( - 3)(8 + 6)(8 - 6)\\\\= -(4)(3)( - 3)(8 + 6)(8 - 6)\\\\= (- 12)( - 3)(8 + 6)(8 - 6)\\\\= +(12)(3)(8 + 6)(8 - 6)\\\\= (36)(14)(2)\\\\= 504(2)\\\\=\boxed{\bold{ 1008}}$