Respuesta :

Answer: (x+8)^3 exponent is 3

Step-by-step explanation:

Sum of given expression is A³ + 512 + 24A² + 192A

Given:

Cube of sum of a number and 8

Find:

Expression

Computation:

Assume;

Given number is A

So,

Aum of A and 8 = A + 8

by cubing sum, we get

(A + 8)³

We know that;

(a + b)³ = a³ + b³ + 3a²b + 3ab²

So,

(A + 8)³ = A³ + 8³ + 3(A)²(8) + 3(A)(8²)

(A + 8)³ = A³ + 512 + 24A² + 3(A)(64)

(A + 8)³ = A³ + 512 + 24A² + 192A

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