`(a^2+ac)/(a^2c-c^3)-(a-c)/(a(a+c))-(2c)/(a^2-c^2)`.

What is the value of (a^2+ac)/(a^2c-c^3)-(a^2-c^2)/(a^2c+2ac^2+c^3)-(2c)/(a^2-c^2)+3/(a+c)

|[1/c,1/c,-(a+b)/c^2],[-(b+c)/c^2,1/a,1/a],[(-b(b+c))/(a^2c),(a+2b+c)/(ac),(-b(a+b))/(ac^2)]| is

If a,b, and c are in H.P.then th value of ((ac+ab-bc)(ab+bc-ac))/((abc)^(2)) is ((a+c)(3a-c))/(4a^(2)c^(2)) b.(2)/(bc)-(1)/(b^(2)) c.(2)/(bc)-(1)/(a^(2)) d.((a-c)(3a+c))/(4a^(2)c^(2))

(1)/(c),(1)/(c),-(a+b)/(c^(2))-(b+c)/(c^(2)),(1)/(a),(1)/(a)(-b(b+c))/(a^(2)c),(a+2b+c)/(ac),(-b(a+b))/(ac^(2))]| is

|[1/c,1/c,-(a+b)/c^2],[-(b+c)/a^2,1/a,1/a],[(-b(b+c))/(a^2c),(a+2b+c)/(ac),(-b(a+b))/(ac^2)]| is

|[1/c,1/c,-(a+b)/c^2],[-(b+c)/a^2,1/a,1/a],[(-b(b+c))/(a^2c),(a+2b+c)/(ac),(-b(a+b))/(ac^2)]| is (a) dependent on a,b,c (b) dependent on a (c) dependent on b (d) independent on a,b and c

If alpha,beta are the zeros of the polynomial f(x)=ax^(2)+bx+c, then (1)/(a^(2))+(1)/(beta^(2))=(b^(2)-2ac)/(a^(2)) (b) (b^(2)-2ac)/(c^(2))(c)(b^(2)+2ac)/(a^(2))(d)(b^(2)+2c)/(c^(2))

If (.^(n)C_(r-1))/(a)=(.^(n)C_(r))/(b)=(.^(n)C_(r+1))/(c) n=(ab+2ac+bc)/(b^(2)-ac)andr=(a(b+c))/(b^(2)-ac) .

Prove that (a^2+2bc)/((a-b)(a-c))+(b^2+2ac)/((b-c)(b-a))+(c^2+2ab)/((c-a)(c-b))=3

[[ Prove that 1+a^(2)+a^(2)b^(2),1+ab+a^(2)b^(2),1+ac+a^(2)c^(2)1+ab+a^(2)b^(2),1+b^(2)+b^(4),1+bc+b^(2)c^(2)1+ac+a^(2)c^(2),1+bc+b^(2)c^(2),1+c^(2)+c^(2)]]=(a-b)^(2)(b-c)^(2)(c-a)^(2)(c-a)^(2)(c-a)^(2)(c-a)^(2)(c-a)^(2)(c-a)^(2)(c-a)^(2)(c-a)^(2)(c-a)^(2)(c-a)^(2)(c-a)^(2)(c-a)^(2)(c-a)^(2)(c-a)^(2)(c-a)^(2)(c-a)^(2)(c-a)^(2)(c-a)^(2)(c-a)^(2)(c-a)^(2)(c-a)^(2)(c-