Three consecutive positive odd integers a, b and c satisfy b^2 - a^2 = 344 and c^2 - b^2 > 0. What is the value of c^2 - b^2?

The value of c² - b² is 352.

Step-by-step explanation:

Given that a, b and c are consecutive odd number. In a simplier way, you can make an expression of b and c in terms of a, as b and c are consecutive numbers which are connected to a :

e.g

Let a = 1,

b = a + 2

= 1 + 2

= 3 (odd number)

c = a + 4

= 1 + 4

= 5 (odd number)

Then, substitite the expression of a and b into b² - a² = 344, in order to find a :

Next, we have to substitute the value of a into the expression c² - b² :

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step-by-step explanation: