Answer: To simplify the expression (4x^4 + 7x^2 + 6x) - (x^3 - 7x + 10), we can follow these steps:
Step 1: Distribute the negative sign across the second set of parentheses:
(4x^4 + 7x^2 + 6x) - x^3 + 7x - 10
Step 2: Combine like terms:
4x^4 + 7x^2 + 6x - x^3 + 7x - 10
Step 3: Rearrange the terms so that the variable terms and constant terms are grouped together:
4x^4 - x^3 + 7x^2 + 6x + 7x - 10
Step 4: Combine like terms:
4x^4 - x^3 + 7x^2 + 13x - 10
So, the simplified expression is 4x^4 - x^3 + 7x^2 + 13x - 10.
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Explanation: