1 (2x ^ 4 + 5x ^ 3 + 7x ^ 2 + 16x - 15) / (4/4) * (2x + 5)

・コ) (- 10x ^ 4 - 6x ^ 3 + 2x ^ 2 + 8x + 2) * 1/7 * (2x ^ 2 + 2x + 2)

Let's break down and simplify both mathematical expressions step by step.

### Expression 1:
\[
\frac{1}{4/4} \times (2x^4 + 5x^3 + 7x^2 + 16x - 15) \times (2x + 5)
\]

- The term \( \frac{1}{4/4} \) simplifies to 1, so it can be omitted.
- Thus, the expression simplifies to:
  \[
  (2x^4 + 5x^3 + 7x^2 + 16x - 15) \times (2x + 5)
  \]
- Now, let's expand the expression by multiplying the polynomials:

\[
(2x^4 + 5x^3 + 7x^2 + 16x - 15) \times (2x + 5)
\]

Expanding each term:

\[
\begin{aligned}


The query submitted by the user: (2x^4 + 5x^3 + 7x^2 + 16x - 15) / (4/4) * (2x + 5) ・コ) (-10x^4 - 6x^3 + 2x^2 + 8x + 2) * 1/7 * (2x^2 + 2x + 2)

This detailed walkthrough covers how to expand and simplify the polynomial expression (2x^4 + 5x^3 + 7x^2 + 16x - 15) * (2x + 5), applying the distributive property and polynomial expansion techniques. Suitable for students in Grades 10-12 who are learning advanced algebra and polynomial operations.

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