Question

What is the value of of (10)3 +(12)3+(-22)3​

Answer 1

Step-by-step explanation:

your answer is

= -7920

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Answer 2

Answer:

(10)³ +(12)³+(-22)³ = -7920

Step-by-step explanation:

Required to find the value of (10)³ +(12)³+(-22)³​

Solution

Recall the formula

a³ + b³+ c³− 3abc = (a + b + c)(a² + b²+ c²− ab − bc − ca) ---------------(1)

Consider a = 10, b= 12 and c= -22

a+b+c = 10+12+(-22)  = 0

The equation (1) becomes

a³ + b³+ c³− 3abc = 0

a³ + b³+ c³ =  3abc

substituting a = 10, b= 12 and c= -22, we get

(10)³ +(12)³+(-22)³​ = 3(10)(12)(-22)

=-7920

∴(10)³ +(12)³+(-22)³ = -7920

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