Question

If each of a, b, and c is a non-zero number, and a/b = b/c, show that (a + b + c)(a - b + c) = a^2 + b^2 + c^2

Answer 1

Step-by-step explanation:

=((a+c)+b)((a+c)-b) = (a+c)^2- b^2

=a^2+c^2+2ac-b^2. ...{b^2=ac}

=a^2+c^2+ac

=a^2+b^2+c^2