Simplify (-7x-5x^4+5)-(-7x^4-5-9x)

Problem

open paren negative 7 x minus 5 x to the fourth power plus 5 close paren minus open paren negative 7 x to the fourth power minus 5 minus 9 x close paren

Solution

1. Distribute the negative sign to each term inside the second set of parentheses.

open paren negative 7 x minus 5 x to the fourth power plus 5 close paren plus 7 x to the fourth power plus 5 plus 9 x

2. Remove the parentheses and group the terms by their degree.

negative 5 x to the fourth power plus 7 x to the fourth power minus 7 x plus 9 x plus 5 plus 5

3. Combine the like terms for the x to the fourth power power.

2 x to the fourth power minus 7 x plus 9 x plus 5 plus 5

4. Combine the like terms for the x power.

2 x to the fourth power plus 2 x plus 5 plus 5

5. Combine the constant terms to reach the final simplified form.

2 x to the fourth power plus 2 x plus 10

Final Answer

open paren negative 7 x minus 5 x to the fourth power plus 5 close paren minus open paren negative 7 x to the fourth power minus 5 minus 9 x close paren equals 2 x to the fourth power plus 2 x plus 10

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