Find the value of (25)³ + (-29)³ + (4)³

-8700

The correct answer is Option (1) → -8700

Identify the Pattern

Let:

• $a = 25$
• $b = -29$
• $c = 4$

Check the Sum of the Variables

We know that if $a + b + c = 0$, then the following identity holds:

$a^3 + b^3 + c^3 = 3abc$

Let's check the sum:

$a + b + c = 25 + (-29) + 4$

$a + b + c = 25 - 29 + 4 = 0$

Apply the Identity

Since the sum is $0$, we can calculate the value as:

$\text{Value} = 3 \times (25) \times (-29) \times (4)$$

To make it easier, rearrange the multiplication:

$\text{Value} = 3 \times (-29) \times (25 \times 4)$

$\text{Value} = 3 \times (-29) \times 100$

$\text{Value} = -87 \times 100$

$\text{Value} = -8700$

Final Answer:

The value of $(25)^3 + (-29)^3 + (4)^3$ is $-8700$.