If $49 a^{2} - b = (7 a + 2) (7 a - 2)$ , then find the value of b.

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Solution

Given expression is $49 a^{2} - b = (7 a + 2) (7 a - 2)$
=> $49 a^{2} - b = 49 a^{2} - 4$ (using $a^{2} - b^{2} = (a + b) (a - b)$ )
=> $- b = 49 a^{2} - 49 a^{2} - 4$
=> $- b = - 4$
=> $b = 4$ Ans

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