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Factorise the following using appropria...

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

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