Question

multiply.
$(4x + 3)(x^3 - x + 8)$
$(4x + 3)(x^3 - x + 8) = \square$ (simplify your answer.)

Explanation:

Step1: Distribute 4x

Multiply \(4x\) with each term in \((x^3 - x + 8)\):
\(4x \cdot x^3 = 4x^4\), \(4x \cdot (-x) = -4x^2\), \(4x \cdot 8 = 32x\).

Step2: Distribute 3

Multiply \(3\) with each term in \((x^3 - x + 8)\):
\(3 \cdot x^3 = 3x^3\), \(3 \cdot (-x) = -3x\), \(3 \cdot 8 = 24\).

Step3: Combine like terms

Combine the results from Step1 and Step2:
\(4x^4 + 3x^3 - 4x^2 + 32x - 3x + 24\).
Simplify \(32x - 3x = 29x\).

Answer:

\(4x^4 + 3x^3 - 4x^2 + 29x + 24\)