Answer:
The equivalent expression is: [tex]-5a^2 + 4ab + 116[/tex]
Step-by-step explanation:
An equivalent expression to the one given can be found removing first from the parenthesis, and then combining the like terms. So
[tex](-4a^2 - 36) + (-2ab - a^2 + 2) + (-82 + 6ab)[/tex]
Removing from the parenthesis
[tex]-4a^2 - 36 - 2ab - a^2 + 2 - 82 + 6ab[/tex]
Combining the like terms:
[tex]-4a^2 - a^2 - 2ab + 6ab - 36 + 2 - 82[/tex]
[tex]-5a^2 + 4ab + 116[/tex]
The equivalent expression is: [tex]-5a^2 + 4ab + 116[/tex]
