Simplify the expression (5e^2−6e+7)−(4e^2−6e−2) .(1 point) Responses e2−12e+9 e squared minus 12 e plus 9 9e2−12e+5 9 e squared minus 12 e plus 5 e2+9 e squared plus 9 9e2+9
The expression (5e^2−6e+7)−(4e^2−6e−2) can be simplified as follows:
(5e^2−6e+7)−(4e^2−6e−2)
= 5e^2−6e+7−4e^2+6e+2 [Distribute the negative sign to both terms inside the parentheses]
= (5e^2−4e^2) + (−6e + 6e) + (7 + 2) [Combine like terms]
= e^2 + 9 [Simplify further]
Therefore, the simplified expression is e^2 + 9.