reslove 3x+3/(x+1) (x+2) into partial fraction
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Step-by-step explanation:
reslove 3x+3/(x+1) (x+2) into partial fraction888+infinte=reciprocal---1-2-3-222= nothing
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Answer:
Partial Fraction ;
3 / x² + 3x + 2
3x + 3 / ( x + 1 ) ( x + 2 )
3x + 3 = ( x + 1 ) ) x + 2 )
3x + 3 = x² + 2x + x + 2
3x + 3 = x² + 3x + 2
3x will be cancelled
3 = x² + 3x + 2
Hence ;
Partial Fraction will be
3 / x² + 3x + 2
x² + 3x + 2
x² + 1x + 2x + 2 = 0
x ( x + 1 ) + 2 ( x + 1 )
( x + 1 ) ( x + 2 )
Substitute x value in the given fraction ;
x = - 1 and -2
3x + 3 / ( x + 1 ) ( x + 2 )
3 ( -1 ) + 3 / ( -1 + 1 ) ( -1 + 2 )
-3 + 3 / 0
= 0
3x + 3 / ( x + 1 ) ( x + 2 )
3 ( -2 ) + 3 / ( -2 + 1 ) ( -2 + 2 )
-6 + 3 / 0
- 3 / 0
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