Question

Which expression is equivalent to 1/2 (10a − 8b) + 3(4a − 2) + 1/3 (9 − 6b)?

A)5a − 5b + 6


B)17a − 6b − 3
C)20a − 8b + 7
D)24a + 6b + 6

Answer 1

the answer is b.17a-6b-3

Answer 2

Option: B is the correct answer.

B) 17a − 6b − 3

Explanation:

The expression is given as:

`(1)/(2)(10a-8b)+3(4a-2)+(1)/(3)(9-6b)`

The expression could also be given by:

`=(1)/(2)2(5a-4b)+3(4a-2)+(1)/(3)3(3-2b)`

which is nothing but:

`=5a-4b+3* 4a-3* 2+3-2b\\\\=5a-4b+12a-6+3-2b`

On combining the like terms:

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