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Expand & Simplify -3/4(3x+2)-2
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We have to expand and simplify -3/4(3x+2)-2
I hope I have the part in the numerator and the denominator right and the expression is (-3/4)(3x + 2) - 2
=> (-3/4)(3x) - (3/4)(2) - 2
=> -9x/4 - 3/2 - 2
=> -9x/4 - 7/2
The required simplified result is -9x/4 - 7/2
Posted by justaguide on March 27, 2011 at 4:04 PM (Answer #1)
To solve this exercise properly, you'll have to write it according to mathematic rules.
For instance, because of the lack of brackets, we do not know if the first factor is the fraction (-3/4) or just (4).
If it is (4), we'll solve it in this way:
-3/(12x + 8) - 2 (we have opened the brackets from denominator)
We'll multiply -2 by the denominator (12x+8)
(-3 - 2*(12x + 8))/(12x+8)
(-3 - 24x - 16)/(12x + 8)
We'll combine like terms:
(-19-24x)/(12x + 8)
The result of the expression above, written in this manner -3/4(3x+2)-2, is (-19-24x)/(12x + 8).
Posted by giorgiana1976 on March 27, 2011 at 7:27 PM (Answer #2)
Elementary School Teacher
In order to expand -3/4(3x+2)-2, you'd have to multiply each component in the bracket by what's in front of the bracket.
So, it would be (-3/4*3x) + (-3/4*2) -2 you're done with expanding!
then if you calculate it, it would be (-9/4x)+(-3/2)-2
Second, to simplify this, you only need to add -3/2 and -2 (fraction wise ,-4/2)together.
So the final result would be -9/4x-7/2.
Posted by namji on April 9, 2011 at 5:40 PM (Answer #3)
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