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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