Question

Which expression is equivalent to the given polynomial expression?

Answer 1

Answer:

The equivalent expression is: $-5a^2 + 4ab + 116$

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

$(-4a^2 - 36) + (-2ab - a^2 + 2) + (-82 + 6ab)$

Removing from the parenthesis

$-4a^2 - 36 - 2ab - a^2 + 2 - 82 + 6ab$

Combining the like terms:

$-4a^2 - a^2 - 2ab + 6ab - 36 + 2 - 82$

$-5a^2 + 4ab + 116$

The equivalent expression is: $-5a^2 + 4ab + 116$