Question

a+b : a-b = 1:5 find a^2-b^2: a^2+b^2​

Answer 1

Answer:

5/14

Step-by-step explanation:

(a+b) / (a-b) = 1/ 5

Cross Multiplication

5(a+b) = (a-b)

5a + 5b = a-b

5a-a + 5b + b = 0

4a + 6b = 0

4a = -6b

a/b = -6/4

a/b = -3/2

Squaring both the sides

(a/b)^2 = (-3/2)^2

a^2/b^2 = 9/4

By Componendo & Dividendo Property

(a^2-b^2) / (a^2+b^2) = 9-4/9+5

(a^2-b^2) / (a^2+b^2) = 5/14