write the form of the partial decomposition for the given rational expression. Don't solve for constants:

Question

8x+10/x^2+7x-18

please show work!

Answer 1

I am pretty sure you meant:

(8x+10)/(x^2 + 7x - 18)
= (8x+10)/((x+9)(x-2))

let This be
A/(x+9) + B(x-2)
= ( A(x-2) + B(x+9) )/( (x+9)(x-2) )

so ...

A(x-2) + B(x+9) = 8x + 10

sub in A = 2, and B=-9 to find the constanst