Question

1. simplify: $2x^3(3x^2 - 4x + 5)$

Explanation:

Step1: Apply distributive property

Multiply \(2x^3\) with each term inside the parentheses:
\(2x^3 \cdot 3x^2 - 2x^3 \cdot 4x + 2x^3 \cdot 5\)

Step2: Simplify each term

For the first term: \(2 \cdot 3 \cdot x^{3 + 2} = 6x^5\)
For the second term: \(2 \cdot (-4) \cdot x^{3 + 1} = -8x^4\)
For the third term: \(2 \cdot 5 \cdot x^3 = 10x^3\)

Answer:

\(6x^5 - 8x^4 + 10x^3\)