Question

Expand thefollowing (2x+3/x-1)^2

Answer 1

Answer:

4(x^2)+10x+13

Step-by-step explanation:

(2x+3/x-1)^2

=(2x+3)^2/(x-1)^2

(a+b)^2=a^2+b^2+2ab & (a-b)^2=a^2+b^2-2ab

=4(x^2)+9+12x/x^2+1-2x

=(4(x^2)+9+12x/x^2)+(4(x^2)+9+12x)-(4(x^2)+9+12x/2x)

=(12x+13)+(4(x^2)+9+12x)-(14x+9)

=4(x^2)+10x+13