Question

Express the following as a partial fraction:

(i) 4x+5/(x+2)^2

Answer 1

4x + 5 = 4/(x+2) - 3/(x+2)^2

Answer 2

A=4 , and B= -3

Answer 3

hina your right how did u get it ?

Answer 4

(4x + 5)/(x+2)^2 = A/(x+2) + B/(x+2)^2

Answer 5

then we multiply n divide both sides by LCM i.e. (x+2)^2
to get the value of B, we need to put x+2 = 0, which gives x=-2 then B= -3
for getting value of A,
we have,
4x+5 = A(x+2)-3
opeing bracket
4x+5 = Ax + 2A-3
then compare coefficients and you will get the required answer

Answer 6

ty:)