Factorise following using appropriate identities : 4 y^{2}-4 y+1

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2. Polynomials

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Factorise the following using appropriate identities : $4 y^{2}-4 y+1$

Option A

Option B

Option C

Option D

Solution

We have $4 y^{2}-4 y+1$

$=(2 y)^{2}-2(2 y)(1)+(1)^{2}$

$=(2 y-1)^{2}$ $\left[\because a ^{2}-2 ab + b ^{2}=( a – b )^{2}\right]$

$=(2 y-1)(2 y-1)$

Standard 9

Mathematics

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