Hey there!
12 + 5a^2 - (15 - 3a^2)
DISTRIBUTE -1 WITHIN the PARENTHESES
= 12 + 5a^2 - 1(15) - 1(-3a^2)
= 12 + 5a^2 - 15 + 3a^2
COMBINE the LIKE TERMS
= (5a^2 - 3a^2) + (12 - 15)
= 5a^2 + 3a^2 + 12 - 15
= 8a^2 - 3
Therefore, your answer is: 8a^2 - 3
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)