Question

Look at the photo atttatched

Answer 1

Correct Answers: A, D, E
The 4 - 4 in choice A cancels out
The 6 x 1/6 in choice D cancels out
The 0 x 1/3c in choice E cancels out

Answer 2

A, D, E are equivalent expressions.

Explanation:

A)

`(2)/(3)a+(5)/(3)b + ( 8 + 4) - 4 =(2)/(3)a +(5)/(3)b + 12 - 4\\\\=(2)/(3)a+(5)/(3)b + 8\\\\`

Here, 8+4 = 12 and when we subtract 4 from 12, we get 8.

`D) 6*((2)/(3)a+(5)/(3)b+8)*(1)/(6)=6*(1)/(6)((2)/(3)a+(5)/(3)b+8)\\\\\\=(2)/(3)a+(5)/(3)b + 8`

Here, 6 and 1/6 will be cancelled and we get 1.

`E) (2)/(3)a+(5)/(3)b+ 0*(1)/(3)c+8=(2)/(3)a+(5)/(3)b+0+8\\\\=(2)/(3)a+(5)/(3)b+8`

0 multiplied by any value is 0. So, term multiplied by 0 = 0