Answer:
[tex]9 {x}^{2} - 3x[/tex]
Step-by-step explanation:
We want to simplify
[tex](5 {x}^{2} + 2) - ( - 4 {x}^{2} + 7) + ( - 3x - 5)[/tex]
We expand the parenthesis to get;
[tex]5 {x}^{2} + 2 + 4 {x}^{2} - 7- 3x - 5[/tex]
We group similar terms to get:
[tex]5 {x}^{2} + 4 {x}^{2}- 3x - 5 + 2 - 7[/tex]
Combine the terms;
[tex]9 {x}^{2}- 3x + 0[/tex]
Therefore the simplified expression in standard form is:
[tex]9 {x}^{2} - 3x[/tex]