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To subtract (5y³ + 6y + 3y⁴) from (4y⁴ - 8y³), you need to combine like terms and simplify the expression step by step:
1. Rearrange the terms of the second polynomial to align similar terms:
(4y⁴ - 8y³) - (5y³ + 6y + 3y⁴)
2. Combine the like terms:
4y⁴ - 8y³ - 5y³ - 6y - 3y⁴
3. Simplify by adding or subtracting coefficients of like terms:
4y⁴ - 13y³ - 3y⁴ - 6y
4. Combine the terms with the same variable raised to the same power:
(4y⁴ - 3y⁴) - 13y³ - 6y
1y⁴ - 13y³ - 6y
Therefore, the result of subtracting (5y³ + 6y + 3y⁴) from (4y⁴ - 8y³) is y⁴ - 13y³ - 6y.
