Simplify the following:
-5 a^2-4 a (2 a+3 b)
Factor a out of -5 a^2-4 a (2 a+3 b), resulting in a (-5 a^(2-1)-4 (2 a+3 b)):
a (-5 a^(2-1)-4 (2 a+3 b))
2-1 = 1:
a (-5 a-4 (2 a+3 b))
-4 (2 a+3 b) = -8 a-12 b:
a (-8 a-12 b-5 a)
Grouping like terms, -5 a-8 a-12 b = -12 b+(-5 a-8 a):
a (-12 b+(-5 a-8 a))
-5 a-8 a = -13 a:
Answer: | a (-13 a-12 b)