# 2/(5w+10 )- 3/(2w-4)

please show me how to work this problem.

I assume this is some sort of combine the fractions, as there is nothing equal to the sentence above.

factor out 1/((5w+10)(2w-4))

1/((5w+10)(2w-4)) * ( 2*(2w-4) - 3(5w+10) )

do the multiplication in the paren..

1/((5w+10)(2w-4)) * (4w-16 - 15w-30)

1/((5w+10)(2w-4)) (-11w - 46)

you could factor a 10 out of the denominator, making

1/(10( w+2)( w-2)) (-11w - 46)

add or subtract as indicated. express your result in simplest form.

2 over 5x+ 10 subtract 3 over 2w - 4 will this help since I didn't make myself clear?

## To subtract the fractions 2/(5w+10) and 3/(2w-4), you'll need to find a common denominator and then combine the fractions.

Step 1: Find the common denominator

The common denominator is the least common multiple (LCM) of the denominators (5w+10) and (2w-4).

To find the LCM, factor the denominators and multiply each unique factor the maximum number of times it occurs in either denominator:

- (5w+10) can be factored into 5(w+2)

- (2w-4) can be factored into 2(w-2)

The LCM is then 2*5*(w+2)*(w-2) = 10(w+2)(w-2).

Step 2: Rewrite each fraction with the common denominator

Multiply the numerator and denominator of each fraction by the necessary factors to obtain the common denominator.

2/(5w+10) becomes (2*(w-2))/(10(w+2)(w-2)) = 2w-4 / (10(w+2)(w-2))

3/(2w-4) becomes (3*(w+2))/(10(w+2)(w-2)) = 3w+6 / (10(w+2)(w-2))

Step 3: Combine the fractions

Now that both fractions have the same denominator, you can subtract the numerators:

(2w-4) - (3w+6) = 2w-4 - 3w-6 = -w -10

The resulting fraction is (-w - 10) / (10(w+2)(w-2))

Note: If you need to simplify the expression further, you could factor out a common factor from the numerator or denominator or look for any common factors in the numerator and denominator to cancel out. However, in this case, the expression is already in its simplest form.