The image presents a set of polynomial multiplication problems. I will solve problem 1. The problem is to expand and simplify the expression $y = -x^3(3x^4 - 2)$.

1. Problem Description

The image presents a set of polynomial multiplication problems. I will solve problem

1. The problem is to expand and simplify the expression $y = -x^3(3x^4 - 2)$.

2. Solution Steps

To solve this problem, we need to distribute $-x^3$ across the terms inside the parentheses:

$y = -x^3 (3x^4 - 2)$

$y = (-x^3)(3x^4) + (-x^3)(-2)$

When multiplying terms with exponents, we add the exponents: $x^a * x^b = x^{a+b}$.

$y = -3x^{3+4} + 2x^3$

$y = -3x^7 + 2x^3$

3. Final Answer

The final answer is $y = -3x^7 + 2x^3$.