Question

(-a-c)×(-a-c) quadrado da diferença de dois termos

Answer 1

Resposta:

${a}^{2} + 2ac + {c}^{2}$

Explicação passo-a-passo:

$( - a - c) \times ( - a - c) = ( - a - c)^{2}$

$( - a - c) ^{2} = - a( - a - c) - c( - a - c) = \\ = ( - 1) \times ( - 1) \times {a}^{(1 + 1)} + ( - 1) \times ( - 1) \times a \times c + ( - 1) \times ( - 1) \times a \times c + ( - 1) \times ( - 1) \times c ^{1 + 1}$

$1 \times {a}^{2} + a \times c + a \times c + 1 \times {c}^{2} = \\ = {a }^{2} + 2 \times a \times c + {c}^{2} = \\ = {a}^{2} + 2ac + {c}^{2}$