Answer:
[tex] - {x}^{4} - 7 {x}^{3} + 8[/tex]
Step-by-step explanation:
[tex](5 - 5 {x}^{4} - {x}^{3} ) - (6 {x}^{3} - 4 {x}^{4} - 3)[/tex]
Remove unnecessary parentheses
[tex]5 - 5 {x}^{4} - {x}^{3} - (6 {x}^{3} - 4 {x}^{4} - 3)[/tex]
When there is a (-) in front of an expression in parentheses, change the sign of each term in the expression
[tex]5 - 5 {x}^{4} - {x}^{3} - 6 {x}^{3} + 4 {x}^{4} + 3[/tex]
Collect like terms
[tex]5 + 3 - 5 {x}^{4} + 4 {x}^{4} - {x}^{3} - 6 {x}^{3} [/tex]
[tex]5 + 3 - {x}^{4} - 7 {x}^{3} [/tex]
Add the numbers
[tex]8 - {x}^{4} - 7 {x}^{3} [/tex]
Use the commutative property to reorder the terms
[tex] - {x}^{4} - 7 {x}^{3} + 8[/tex]
Hope this helps...
Best regards!!
