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What do we get after factoring 49x^2-28xy+.4y^2?(a) (7x+2y)^2(b) (49x-4y)^2(c) (7x-2y)^2(d) (7x-28y)^2I got this question in homework.My question comes from Factorisation of Polynomials and Algebraic Identities in section Polynomials of Mathematics – Class 9

Answer» CORRECT OPTION is (c) (7x-2y)^2

The explanation: We know that a^2-2ab+.b^2 = (a-b)^2

49x^2-28xy+.4y^2 can also be written as (7x)^2-2(7)(2)xy+(2y)^2

Here, a = 7x and b = 2y.

Therefore,49x^2-28xy+.4y^2 = (7x)^2-2(7)(2)xy+(2y)^2

= (7x-2y)^2.


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