pre calc
posted by esora on .
write the form of the partial decomposition for the given rational expression. Don't solve for constants:
8x+10/x^2+7x18
please show work!

I am pretty sure you meant:
(8x+10)/(x^2 + 7x  18)
= (8x+10)/((x+9)(x2))
let This be
A/(x+9) + B(x2)
= ( A(x2) + B(x+9) )/( (x+9)(x2) )
so ...
A(x2) + B(x+9) = 8x + 10
sub in A = 2, and B=9 to find the constanst