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प्रश्न
Factorise the following algebraic expression by using the identity a2 – b2 = (a + b)(a – b)
25a2 – 49b2
उत्तर
25a2 – 49b2 = 52a2 – 72b2
= (5a)2 – (7b)2
let a = 5a and b = 7b
a2 – b2 = (a + b)(a – b)
(5a)2 – (7b)2 = (5a + 7b)(5a – 7b)
25a2 – 49b2 = (5a + 7b)(5a – 7b)
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