Question

Simplify the expression.
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 \( \boxed{52x^2 + 54x} \).