Simplify the expression.

Question

6(2x 2power + 4x) + 10(4x 2power + 3x)

Answer 1

To simplify the expression \( 6(2x^2 + 4x) + 10(4x^2 + 3x) \), follow these steps:

1. Distribute the constants across the terms inside the parentheses:

   \[ 6(2x^2 + 4x) = 6 \cdot 2x^2 + 6 \cdot 4x = 12x^2 + 24x \]

   \[ 10(4x^2 + 3x) = 10 \cdot 4x^2 + 10 \cdot 3x = 40x^2 + 30x \]

2. Combine the results:

   \[ 12x^2 + 24x + 40x^2 + 30x \]

3. Combine like terms:

   • For \(x^2\) terms: \[ 12x^2 + 40x^2 = 52x^2 \]

   • For \(x\) terms: \[ 24x + 30x = 54x \]

4. Therefore, the simplified expression is:

\[ 52x^2 + 54x \]

Thus, the final simplified expression is \( \boxed{52x^2 + 54x} \).