Answer:
The simplified expression is: 12(7m - 6n)
Step-by-step explanation:
Greatest common factor between 84 and 72
We keep dividing 84 and 72, while they can be divided by the same factor. So
84 - 72| 2
42 - 36|2
21 - 18|3
7 - 6
So the greatest common factor is 2*2*3 = 12.
Rewrite 84m - 72n as a product of two factors
Evidencing 12
We factor the denominators
Factor x^2 - 16
x^2 - 4^2
We use a^2 - b^2 = (a+b)(a-b)
so x^2 - 4^2 = (x+4)(x-4)
Replace it in the given equation
Excluded values are the values that makes the denominator 0
we have (x-4) and (x+4) in the denominator
We set the denominator =0 and solve for x
x-4 =0
Add 4 on both sides
x= 4
x+4=0
subtract 4 onboth side
so x= -4
Excluded values are x=-4 and x=4
Explanation is in the file
tinyurl.com/wpazsebu
Answer:
x= -10
Step-by-step explanation:
2x+10=1/2(5x+30)
2x+10=2.5x+15
.5x=-5
5x=-50
x= -10