Question

multiply.
$(4w^{2}-w-7)(6w-5)$
simplify your answer.

Explanation:

Step1: Apply distributive property (FOIL)

Multiply each term in the first polynomial by each term in the second:
$4w^2(6w) + 4w^2(-5) - w(6w) - w(-5) -7(6w) -7(-5)$

Step2: Calculate each product

Compute the individual multiplications:
$24w^3 - 20w^2 -6w^2 +5w -42w +35$

Step3: Combine like terms

Group and simplify similar polynomial terms:
$24w^3 + (-20w^2-6w^2) + (5w-42w) +35$
$24w^3 -26w^2 -37w +35$

Answer:

$24w^3 -26w^2 -37w +35$