Question

Observe os polinômios
P¹ =a+b+c
P²=a-b+c
P³a+b-c
Agora determine
A) p¹+p²+p³
B)p¹+p²-p³
C)p¹-p²+l³
D)p¹-p²-p³

Answer 1

Boa noite,
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Sendo,
$P_{1}=a+b+c$
$P_{2}=a-b+c$
$P_{3}=a+b-c$
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A) $P_{1}+P_{2}+P_{3}$
     $=(a+b+c)+(a-b+c)+(a+b-c)$
     $=(a+a+a)+(b-b+b)+(c+c-c)$
     $=3a+b+c$
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B) $P_{1}+P_{2}-P_{3}$
    $=(a+b+c)+(a-b+c)-(a+b-c)$
   $=(a+a-a)+(b-b-b)+(c+c+c)$
   $=3a-b+3c$
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C)$P_{1}-P_{2}+P_{3}$
    $=(a+b+c)-(a-b+c)+(a+b-c)$
    $=(a-a+a)+(b+b+b)+(c-c-c)$
    $=a+3b-c$
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D)$P_{1}-P_{2}-P_{3}$
     $=(a+b+c)-(a-b+c)-(a+b-c)$
     $=(a-a-a)+(b+b-b)+(c-c+c)$
     $=-a+b+c$

Answer 2

Resposta:

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Explicação passo a passo: