Question

Which expression is the factored form of 2/3x+4 ?

Answer 1

Answer:  B.   2/3(x+6)

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Explanation:

If you distribute the expression in choice A, then you'd get

(1/3)(2x+6) = (1/3)*2x + (1/3)*6 = (2/3)x+2

which is not the original expression. So we can rule out choice A.

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A similar story happens with choice C

(2/3)(x+12) = (2/3)x+(2/3)*12 = (2/3)x+8

and also with choice D

(2/3)(x+4) = (2/3)x+(2/3)*4 = (2/3)x + 8/3

allowing us to rule out choices C and D

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Choice B works

(2/3)(x+6) = (2/3)x+(2/3)*6 = (2/3)x+4