The expression shown in the image is:

$3x^2 + 4x + 2 + 7x^2 + 4x - 1$

Let's simplify it by combining like terms:

1. Combine the $x^2$ terms: $3x^2 + 7x^2 = 10x^2$

2. Combine the $x$ terms: $4x + 4x = 8x$

3. Combine the constant terms: $2 - 1 = 1$

Thus, the simplified expression is:

$10x^2 + 8x + 1$

Would you like a detailed explanation or have any questions?

Here are 5 related questions to expand your understanding:

1. How would you factor the expression $10x^2 + 8x + 1$?
2. What are the roots of the quadratic equation $10x^2 + 8x + 1 = 0$?
3. How do you combine like terms in polynomials?
4. Can you explain the process for solving quadratic equations using the quadratic formula?
5. How would you solve $10x^2 + 8x + 1$ by completing the square?

Tip: When simplifying expressions, always group similar terms (like powers of $x$ or constants) together for clarity.