Mathematics: Which expression is equivalent to the given polynomial expression? (-4a2 – 36) + (-2ab – a2 + 2) + (-82 + 6ab) OA. -3a2 + 4ab + 36 OB. -3a2 + 252 + 8ab + 36 O C. -5a2 + 4ab 36 OD -5a2 + 252 + 8ab + 36

Which expression is equivalent to the given polynomial

struckedblazing

17.03.2022

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

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