Answer:
Step-by-step explanation:
#2 the answer is B, -16/9
do 1/4-5/2
to do this, find the least common denominator. it's 4
1/4-10/4=-9/4
then divide 4 by -9/4. This is the same as 4*-4/9. That is -16/9
#3 the answer is A 9x/x-8
first factor the denominator of the first fraction using special products
x^2-6x-16=(x-8)(x+2)
if you look at the first fraction, you can simplify x+2 leaving you with the fraction 1/x+8
multiply that by 9x, and you get 9x/x-8
#4 the answer is C (2x+1)/2x^2
first add x/4 and 1/8
find the least common denominator. its 8
2x/8 + 1/8 is equal to (2x+1)/8
then multiply that by x^2/4 because dividing a fraction is the same as multiplying its reciprocal
you get (2x+1)/2x^2
#5 the answer is C (x-8)/(x+3)
using special products you can factor the numerator
x^2-4x-32 is the same as (x-8)(x+4)
then, using special products you can also factor the denominator
x^2+7x+12 is the same as (x+4)(x+3)
you can see that both the numerator and the denominator is multiplied by (x+4) you can simplify that. That leaves you with (x-8)/(x+3)
#7 the answer is D 3m
in the numerator in the second fraction, you can factor out 5m^2
leaving you with 5m^2(m-6)/5m^2. simplify the 5m^2 and the m-6
after you simplify both of those, you will get 3m
