Question

Multiple the polynomial by the monomial (simplify) -4z^2(3z^2+12z-1)

Answer 1

-12z⁴ - 48z³ + 4z²

Step-by-step explanation:

The given expression is

-4z²(3z² + 12z - 1)

To multiply it, we need to apply the distributive property, so

-4z²(3z²) - 4z²(12z) - 4z²(-1)

-12z⁴ - 48z³ + 4z²

So, the answer is

-12z⁴ - 48z³ + 4z²