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Identity (x+y)(x-y)

Evaluate: -12...

Question

Evaluate:(-12)³+7³+5³

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Solution

(-12)³ +(7)³+(5)³

Let x = -12, y = 7 & z = 5

x + y + z

=
-12 + 7 + 5 = 0

Here,
x+y+z=0

We
know that if,

x +y+z=0,

then x³ + y³ + z³ = 3xyz

(-12)³
+ (7)³ + (5)³ = 3(-12)(7)(5) = -1260

(-12)³+(7)³+(5)³=-1260

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