We have to rationalize the denominator:
$\frac{-2}{ \sqrt{x+y-2} - \sqrt{x+y+2} } = \\ \frac{-2}{ \sqrt{x+y-2} - \sqrt{x+y+2} }* \frac{ \sqrt{x+y-2}+ \sqrt{x+y+2} }{ \sqrt{x+y-2}+ \sqrt{x+y+2} }= \\ \frac{-2*( \sqrt{x+y-2}+ \sqrt{x+y+2}) }{x+y-2-(x+y+2)}= \\ \frac{-2*( \sqrt{x+y-2}+ \sqrt{x+y+2}) }{x+y-2-x-y-2}= \\ \frac{-2*( \sqrt{x+y-2}+ \sqrt{x+y+2} }{-4}= \\ \frac{ \sqrt{x+y-2}+ \sqrt{x+y+2} }{2}$

6 0

2 years ago

Read 2 more answers

Solve for x. 3x = 2/5 A) 1/4 B) 2/15 C) 5/6 D) 6/5

mafiozo [28]

Answer:

B:2/15

Step-by-step explanation:

Divide both sides by 3

x=2/15

Hope this helped!

5 0

3 years ago

Use elimination to solve each system of equations 2x-y=-1 3x-2y=1

mixer [17]

$2x-y=-1 \ \ \ |\times (-2) \\
3x-2y=1 \\ \\
-4x+2y=2 \\
\underline{3x-2y=1 \ \ \ \ } \\
-4x+3x=2+1 \\
-x=3 \ \ \ |\times (-1) \\
x=-3 \\ \\
2x-y=-1 \\
2 \times (-3)-y=-1 \\
-6-y=-1 \ \ \ |+6 \\
-y=5 \ \ \ |\times (-1) \\
y=-5 \\ \\
\boxed{(x,y)=(-3,-5)}$

8 0

3 years ago

Read 2 more answers

Simplify 4xy + 9x - 3y + z + xy

Contact [7]

4xy + 9x - 3y + z + xy

Combine Like Terms
=4xy+9x+−3y+z+xy
=(4xy+xy)+(9x)+(−3y)+(z)
=5xy+9x+−3y+z

Answer =5xy+9x−3y+z

I hope this helps, can I get brainliest thanks

6 0

3 years ago

Read 2 more answers