Question

without actually calculating,find the cube of the following.(-8)^3+(7)^3+(-13)^3​

Answer 1

Answer:

A . 17530. B .

Step-by-step explanation:

Without actually calculating the cubes, find the value of each of the following: (28)3+(−15)3+(−13)3. This question has multiple correct options. A . 17530. B .

Answer 2

Answer:

it is in the form ,

a^3 + b^3 + c^3 = ( a + b + c)( a^2 + b^2 + c^2 - ab - bc - ca ) + 3abc

=> (-8)^3 + (7)^3 + (-13)^3

= [(-8)+7+(-13) ] [ (-8)^2 + (7)^2 + (-13)^2

- (-8)(7) - (7)(-13) - (-8)(-13) ]

= [ (-14)] [ 64+49+169 + 56 + 91 - 104 ] + 2184

= (-14) [ 325] + 2184

= -2366

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