To simplify this expression, first find a common denominator for the fractions:
(3a-4)/(2a) + (2a-1)/(a^2)
The common denominator will be 2a * a^2 = 2a^3.
So the expression becomes:
[(3a-4)(a)]/[(2a)(a)] + [(2a-1)(2a)]/[(a^2)(2a)]
Expanding both numerators:
(3a^2 - 4a)/(2a^2) + (4a^2 - 2a)/(2a^3)
Now combine the fractions:
[(3a^2 - 4a) + (4a^2 - 2a)] / 2a^3
Now simplify the numerator:
(3a^2 - 4a + 4a^2 - 2a) / 2a^3
(7a^2 - 6a) / 2a^3
Now factor out the common factor:
a(7a - 6) / 2a^3
This simplifies to:
(7a^2 - 6a) / 2a^2
To simplify this expression, first find a common denominator for the fractions:
(3a-4)/(2a) + (2a-1)/(a^2)
The common denominator will be 2a * a^2 = 2a^3.
So the expression becomes:
[(3a-4)(a)]/[(2a)(a)] + [(2a-1)(2a)]/[(a^2)(2a)]
Expanding both numerators:
(3a^2 - 4a)/(2a^2) + (4a^2 - 2a)/(2a^3)
Now combine the fractions:
[(3a^2 - 4a) + (4a^2 - 2a)] / 2a^3
Now simplify the numerator:
(3a^2 - 4a + 4a^2 - 2a) / 2a^3
(7a^2 - 6a) / 2a^3
Now factor out the common factor:
a(7a - 6) / 2a^3
This simplifies to:
(7a^2 - 6a) / 2a^2