Question

find the product. simplify your answer.
(4h - 1)(h - 4)

Explanation:

Step1: Apply distributive property (FOIL)

Multiply each term in the first binomial by each term in the second binomial:
$$(4h - 1)(h - 4)=4h\times h+4h\times(-4)+(-1)\times h+(-1)\times(-4)$$

Step2: Simplify each term

Calculate each product:
$$4h\times h = 4h^{2}, \quad 4h\times(-4)=-16h, \quad (-1)\times h=-h, \quad (-1)\times(-4) = 4$$

Step3: Combine like terms

Combine the middle terms \(-16h\) and \(-h\):
$$4h^{2}-16h - h+4=4h^{2}-17h + 4$$

Answer:

\(4h^{2}-17h + 4\)