Answer:
(x - 1)( x - 2) (x + 2) = x³ -x² -4x + 4.
Explanation:
1) Given equation:
3 5x x + 2
- ------- + -------- = ---------------
x + 2 x - 1 x² - 3x + 2
2) So, the denominators are x + 2, x - 1, and x² - 3x + 2
3) The LCD is the product of the common and non common factors raised to the greatest power.
4) x + 2, and x - 1 are already prime factors
5) Factor x² - 3x + 2
x² - 3x + 2 = (x - 2)(x - 1)
6) Then, the factors are x + 2, x - 1, and x - 2, and the LCD is the product of them:
(x - 1)( x - 2) (x + 2)
7) If you expand the products (distributive property) you get:
x³ -x² -4x + 4.
7(x-2) + 3(x + 2) = 5(x-6)...distribute thru the parenthesis
7x - 14 + 3x + 6 = 5x - 30...combine like terms
10x - 8 = 5x - 30...subtract 5x from both sides
10x - 5x - 8 = -30....add 8 to both sides
10x - 5x = -30 + 8...combine like terms
5x = - 22
x = -22/5 = - 4 2/5 <==
Using the picture, we know (2x+6)+(5x-3)=24. Simplify to find x.
7x+3=24
7x=21
x=3
We know AB=2x+6, and x=3. Plug 3 in for x.
AB=2(3)+6.
AB=6+6
AB=12
Not sure what exactly you meant, so i solved for both possibilities...
Answer: a=-2
assuming you mean a+2/2=-1.....
a+2/2=-1
simplify..
a+1=-1
subtract 1 from both sides
a=-2
____________________
Answer: a=-4
assuming you mean (a+2)/2=-1...
(a+2)/2=-1
simplify...
a/2+2/2=-1
simplify
a/2+1=-1
subtract 1 from both sides
a/2=-2
multiply both sides by 2
a=-4
