Answer :
For this case we must simplify the following expression:[tex](5a^ 2 + 6a + 2) - (7a^ 2-7a-5) =[/tex]
We eliminate the parentheses taking into account that:
[tex]- * + = -\\- * - = +[/tex]
So:
[tex]5a ^ 2 + 6a + 2-7a ^ 2 + 7a + 5 =[/tex]
We add similar terms taking into account that:
Equal signs are added and the same sign is placed.
Different signs are subtracted and the major sign is placed.
[tex]5a ^ 2-7a^2 + 6a + 7a +2 +5 =\\-2a ^ 2 + 13a + 7[/tex]
Answer:
[tex]-2a ^ 2 + 13a + 7[/tex]