SSC CGL Tier II 12 Jan 2017 Paper 1

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Question : 68 of 100

Marks: +1, -0

If

x = y + z

then

x ^ { 3 } - y ^ { 3 } - z ^ { 3 }

is

0
$3xyz$
$–3xyz$
1

Solution:

(2)

x = y + z ⇒ x - y - z = 0

If

a + b + c = 0

then

a ^ { 3 } + b ^ { 3 } + c ^ { 3 }

= 3 a b c

∴ ( x ) ^ { 3 } + ( - y ) ^ { 3 } + ( - z ) ^ { 3 }

= 3 x ( - y ) ( - z ) = 3 x y z

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