Mathematics: Which expression is equivalent to 1/2 (10a − 8b) + 3(4a − 2) + 1/3 (9 − 6b)? a)5a − 5b + 6b)17a − 6b − 3c)20a − 8b + 7d)24a + 6b + 6

Answer kamshshStep by step explanation...

Which expression is equivalent to 1/2 (10a − 8b) +

aracely11140

15.03.2022

Option: B is the correct answer.

B) 17a − 6b − 3

Step-by-step explanation:

The expression is given as:

$\dfrac{1}{2}(10a-8b)+3(4a-2)+\dfrac{1}{3}(9-6b)$

The expression could also be given by:

$=\dfrac{1}{2}2(5a-4b)+3(4a-2)+\dfrac{1}{3}3(3-2b)$

which is nothing but:

$=5a-4b+3\times 4a-3\times 2+3-2b\\\\=5a-4b+12a-6+3-2b$

On combining the like terms:

$=5a+12a-4b-2b-6+3\\\\=17a-6b-3$

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