Answer:
B. FALSE
Step-by-step explanation:
A. [tex](8y^2+2)-(4-2y^2)[/tex]
We expand the brackets to get,
[tex]=8y^2+2-4+2y^2[/tex]
Group like terms,
[tex]=8y^2+2y^2+2-4[/tex]
Simplify,
[tex]=10y^2-2[/tex]
TRUE
B. [tex](y^2-7)+(2y+2)[/tex]
Rearrange the terms,
[tex]=y^2+2y-7+2[/tex]
Simplify,
[tex]=y^2+2y-5[/tex]
[tex](y^2-7)+(2y+2)\ne y^2-9[/tex]
FALSE
C
[tex](y^2-7)+(2y^2+3)[/tex]
Group like terms,
[tex]=y^2+2y^2-7+3[/tex]
Simplify,
[tex]=3y^2-4[/tex]
TRUE
D. [tex](y^3-y)-(y^2+4)[/tex]
Expand brackets
[tex]=y^3-y-y^2-4[/tex]
Rewrite in descending powers of y,
[tex]=y^3-y^2-y-4[/tex]
TRUE
