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Factorise the following using appropria...

Factorise the following using appropriate identities:(i) `9x^2+6x y+y^2` (ii) `4x^2-4y+1` (iii) `x^2-(y^2)/(100)`

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Let's factorize the given expressions step by step. ### (i) Factorizing `9x^2 + 6xy + y^2` 1. **Identify the expression**: We have `9x^2 + 6xy + y^2`. 2. **Recognize the form**: This expression resembles the form of a perfect square trinomial, which is given by the identity \(a^2 + 2ab + b^2 = (a + b)^2\). 3. **Rewrite the terms**: - Here, \(a = 3x\) (since \( (3x)^2 = 9x^2 \)) ...
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