Answer:
[tex]7x^2-2x+4[/tex]
Step-by-step explanation:
[tex](5x^2+2x+11)-(7+4x-2x^2)[/tex]
Breaking the parentheses using the law of signs for addition / subtraction:
[tex]5x^2+2x+11-7-4x+2x^2[/tex]
Combining like terms:
[tex](5x^2+2x^2)+(2x-4x)+(11-7)[/tex]
add/subtract like terms:
[tex]7x^2-2x+4[/tex]