(4𝑥4 + 7𝑥2 + 6x) - (𝑥3 - 7x + 10)

To solve this problem, you need to subtract the second polynomial from the first one. Here's how you do it:

Step 1: Write down the two polynomials:

(4x^4 + 7x^2 + 6x) and (x^3 - 7x + 10)

Step 2: Subtract the second polynomial from the first one:

= 4x^4 + 7x^2 + 6x - (x^3 - 7x + 10)

Step 3: Distribute the negative sign to each term in the second polynomial:

= 4x^4 + 7x^2 + 6x - x^3 + 7x - 10

Step 4: Rearrange the terms in descending order of powers of x:

= 4x^4 - x^3 + 7x^2 + 13x - 10

So, (4x^4 + 7x^2 + 6x) - (x^3 - 7x + 10) = 4x^4 - x^3 + 7x^2 + 13x - 10.