Simplify
(
12
�
5
−
6
�
−
10
�
3
)
−
(
10
�
−
2
�
5
−
14
�
4
)
(12a
5
−6a−10a
3
)−(10a−2a
5
−14a
4
) . Write the answer in standard form.
To simplify this expression, we can combine like terms.
The first term, (12a/5 - 6a - 10a/3), can be simplified by finding a common denominator. The common denominator is 15, so we can rewrite the expression as:
(12a/5 - 30a/5 - 50a/15)
Combining the numerators, we get:
(12a - 30a - 50a)/15
Simplifying the numerator, we have:
(-68a)/15
Now let's simplify the second term, (10a - 2a/5 - 14a/4).
The first term, 10a, remains as is. For the rest of the term, we need to find a common denominator. The common denominator here is 20, so we can rewrite the expression as:
(10a - 4a/20 - 35a/20)
Combining the numerators, we get:
(10a - 39a/20)
Simplifying the numerator, we have:
(-29a/20)
Now we can rewrite the entire expression in standard form:
(-68a/15) - (-29a/20)
To subtract fractions, we need a common denominator. In this case, we can use 60 as the common denominator:
((-68a*4)/60) - ((-29a*3)/60)
Simplifying the numerators, we have:
(-272a/60) + (87a/60)
Combining the numerators, we get:
(-272a + 87a)/60
Simplifying the numerator, we have:
(-185a)/60
The final answer, in standard form, is:
-185a/60