Question

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Answer 1

Answer:

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Answer 2

$3x-2÷(X+1)^2*(x+3)=(3x-2)÷$

$(X+1)(X+1)(X+3)$

$=A/(X+1) +B/(X+1) +c/(X+3)$

$(3x-2)=(Ax^2+4Ax+3A)+(Bx^2+$

$4Bx+3B)+(Cx^2+2Cx+C)$

$(3x-2)=x^2(A+B+C)+X(4A+4B+$

$2C)+(3A+3B+C)$

A+B+C=0---------------------equation(1)

4A+4B+2C=3--------------equation(2)

3A+3B+C=-2------------- equation(3)

equation 2- 4×equation(1)---

-2C=3

c=-3/2

equation2 - equation (3)-----

A+B+C=5---------------equation(4)

equation 2- equation 1×2---------

2A+2B=3---------equation(5)