Question

factorise it x²+(a/a+b+a+b/a)x+1​

Answer 1

Answer:

factors are -a/(a+b) and -(a+b)/a

Step-by-step explanation:

Let y = a/a+b

x² + (y+1/y)x + 1 = 0

x²+ [(y²+1)/y]x+ 1 = 0

yx²+ y²x + x + y = 0

x(yx+1) + y(yx+1) = 0

(x+y) (yx+1) = 0

x = -y or x = -1/y

x = -a/(a+b) or x = -(a+b)/a