contestada

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

Respuesta :

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

Answer:

Option: B is the correct answer.

          B)   17a − 6b − 3

Step-by-step explanation:

The expression is given as:

 [tex]\dfrac{1}{2}(10a-8b)+3(4a-2)+\dfrac{1}{3}(9-6b)[/tex]

The expression could also be given by:

[tex]=\dfrac{1}{2}2(5a-4b)+3(4a-2)+\dfrac{1}{3}3(3-2b)[/tex]

which is nothing but:

[tex]=5a-4b+3\times 4a-3\times 2+3-2b\\\\=5a-4b+12a-6+3-2b[/tex]

On combining the like terms:

[tex]=5a+12a-4b-2b-6+3\\\\=17a-6b-3[/tex]

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