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Property 4

If a+ b + c =...

Question

If a+ b + c =8, ab +bc +ca =17, abc = 10, then the value of (2 + a) (2 + b) (2 + c) is_____.

A

94

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B

84

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C

68

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D

88

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Solution

The correct option is B 84
a + b + c = 8, ab + bc + ca=17, abc = 10 (2 + a) (2 + b) (2 + c) = (4 + 2b + 2a + ab)(2 +c)
8 + 4c + 4b + 2bc + 4a + 2ac + 2ab + abc
8 + 4(a + b + c) + 2(bc + ab + cal + abc
8 + 4(8) + 2(17) + 10
8+32+34+10=84

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