(2t+4)3+6(-5t)-(-8)

less than a minute read Jun 16, 2024

Simplifying the Expression (2t + 4)3 + 6(-5t) - (-8)

This article will guide you through simplifying the algebraic expression (2t + 4)3 + 6(-5t) - (-8). We'll break down the steps involved to arrive at the simplified form.

Step 1: Distribute the 3

Begin by distributing the 3 to both terms inside the parentheses:

(2t + 4)3 = 6t + 12

Step 2: Multiply 6(-5t)

Next, multiply 6 and -5t:

6(-5t) = -30t

Step 3: Simplify the Negatives

The term -(-8) simplifies to +8.

Step 4: Combine Like Terms

Now, combine the terms with 't' and the constant terms:

6t + 12 - 30t + 8

Combining like terms gives us:

-24t + 20

Final Simplified Expression

Therefore, the simplified form of the expression (2t + 4)3 + 6(-5t) - (-8) is -24t + 20.