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

Answer:

A, D, E are equivalent expressions.

Step-by-step explanation:

A)

$\dfrac{2}{3}a+\dfrac{5}{3}b + ( 8 + 4) - 4 =\dfrac{2}{3}a +\dfrac{5}{3}b + 12 - 4\\\\=\dfrac{2}{3}a+\dfrac{5}{3}b + 8$

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

$D) 6*(\dfrac{2}{3}a+\dfrac{5}{3}b+8)*\dfrac{1}{6}=6*\dfrac{1}{6}(\dfrac{2}{3}a+\dfrac{5}{3}b+8)\\\\\\=\dfrac{2}{3}a+\dfrac{5}{3}b + 8$

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

$E) \dfrac{2}{3}a+\dfrac{5}{3}b+ 0*\dfrac{1}{3}c+8=\dfrac{2}{3}a+\dfrac{5}{3}b+0+8\\\\=\dfrac{2}{3}a+\dfrac{5}{3}b+8$

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