Posted by **Tomas** on Thursday, September 26, 2013 at 9:03pm.

4xy(1/2y+3/2x)= ?

a. 2x + 6y

b. 2x + 12y

c. 4x + 6y

d. 4x + 12y

e. 4x - 12y

please answer and explain

- math -
**Reiny**, Thursday, September 26, 2013 at 9:22pm
4xy(1/2y + 3/2x)

= 4xy( (y+3x)/2 )

= 2xy(y+3x)

= 2xy^2 + 6x^2y

none of the choices

I suspect a typo

did you mean

4xy(1/(2y) + 3/(2x) ) ?

then

= 4xy( (x + 3)/(2xy) )

= 2(x + 3y)

= 2x + 6y

looks like you did have a typo.

- math -
**Tomas**, Thursday, September 26, 2013 at 9:27pm
yes,4xy(1/(2y) + 3/(2x) )

thank you

- math -
**Steve**, Friday, September 27, 2013 at 5:27am
1/(2y) + 3/(2x) = x/(2xy) + 3y/(2xy) = (x+3y)/(2xy)

and now it's easy, eh?

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