Try to draw the geometrical figures for other identities. (x+a) (x+b) (x+c)=x^3+(a+b+c)x^2+(ab+bc+ca)x+abc`

Try to draw the geometrical figures for other identities. (x+a) (x+b)=x^2+(a+b)x+ab

Try to draw the geometrical figures for other identities. (x+y) (x-y)=x^2-y^2

Try to draw the geometrical figures for other identities. (x+y)^2=x^2+2xy+y^2

Which Geometrical figure related to Algebraic Identity (x-y) ^2=x^2+y^2-2xy ?

A root of the equation (a+c)/(x+a)+(b+c)/(x+b)=(2(a+b+c))/(x+a+b) is

(x^(3))/((x-a)(x-b)(x-c))

Find the area of triangle formed by the points (a+b+c,a+b+c), ((ab+bc+ca+c^(2))/c,(ab+bc+ca+a^(2))/a) "and" ((ab+bc+ca+a^(2))/c,(ab+bc+ca+b^(2))/a)

If a, b, c are non-zero real numbers and if the equations (a-1) x = y +z, (b-1) y = z + x , (c - 1) z = x + y have a non-trival solution, then ab+bc+ca=

Now take x=2, a= 1 and b = 3, verify the identity (x + a) (x+b)= x^2 + (a+b)x+ab. Is it always LHS =RHS for all values of a and b?

The roots of (x-b)(x-c) +(x-a)(x-c) +(x-a) (x-b)=0 are