Simplify 2/x + 2/x+1 - 2/x+2. Show the restrictions. Can someone show me how to solve this please?
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OpenStudy (anonymous):
\[2/x+2/x+1-2/x+2\]
jhonyy9 (jhonyy9):
restrictions will be for x values for what the denominators are zero
jhonyy9 (jhonyy9):
now can you check it what are these values ?
jhonyy9 (jhonyy9):
x=0
x+1=0 so than x=-1
and the 3rd what will be ?
OpenStudy (anonymous):
-2?
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jhonyy9 (jhonyy9):
yes right
OpenStudy (anonymous):
How do i simplify the problem?
jhonyy9 (jhonyy9):
can you calcule the common denominator ?
OpenStudy (anonymous):
No I'm not sure how to do that.
jhonyy9 (jhonyy9):
so than you will can adding these
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jhonyy9 (jhonyy9):
so like denominators there are
x
x+1
x+2
so now you see that x+2 not can divide by x or x+1 and x+1 is the same not can divide by x
so in this case the common denomintor we will get if we make the product of x and x+1 and x+2 so like x(x+1)(x+2)
jhonyy9 (jhonyy9):
ok ?
jhonyy9 (jhonyy9):
so than now for we can adding these terms after we know the common denominator we need multiplie the first numerator by (x+1)(x+2) and the second numerator by x(x+2) and the 3rd numerator by x(x+1)
- can you calcule it ?
OpenStudy (anonymous):
Yes, hold on.
OpenStudy (anonymous):
Is the first fraction 2x^2+6x+4/x^3+3x^2+2x?
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