You are asking to solve \( f \circ g(x) = (2x^2 - 4)(x^2 - 7x + 10) \). This expression represents the product of two polynomials. Let's expand and simplify the result.

We start by distributing the terms:

\[
(2x^2 - 4)(x^2 - 7x + 10)
\]

1. Distribute \( 2x^2 \) to each term in the second polynomial:
   \[
   2x^2 \cdot x^2 = 2x^4
   \]
   \[
   2x^2 \cdot (-7x) = -14x^3
   \]
   \[
   2x^2 \cdot 10 = 20x^2
   \]

2. Now distribute \( -4 \) to each term in the second polynomial:
   \[
   -4 \cdot x^2 = -4x^2
   \]
   \[
   -4 \cdot (-7x) = 28x
   \]
   \[
   -4 \cdot 10 = -40
   \]

Now, combine all terms:
\[
2x^4 - 14x^3 + 20x^2 - 4x^2 + 28x - 40
\]

Simplify like terms:
\[
2x^4 - 14x^3 + (20x^2 - 4x^2) + 28x - 40
\]
\[
2x^4 - 14x^3 + 16x^2 + 28x - 40
\]

So the expanded and simplified form of the expression is:
\[
2x^4 - 14x^3 + 16x^2 + 28x - 40
\]

Would you like any further clarification on any part of this solution? 

Here are some related questions you might find helpful:

1. How do you multiply two polynomials step by step?
2. What are like terms and how do you combine them in polynomials?
3. How does polynomial expansion differ from polynomial factorization?
4. What are some strategies to simplify polynomial expressions efficiently?
5. How can I graph a polynomial function after expanding it?

**Tip:** When expanding polynomials, always ensure to distribute each term in the first polynomial to every term in the second polynomial.

Explore how to expand and simplify the polynomial expression (2x² - 4)(x² - 7x + 10). This solution walks through polynomial multiplication and combining like terms, suitable for students in Grades 9-11.

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