Factorise the following using appropriate identities 4y2 4y 1

Asked by admin @ 17/08/2021 in Math viewed by 334 People

4y²-4y+1, Factorise it using appropriate identities.

Answered by admin @ 17/08/2021

Solution :

Given Quadratic expression is

4y² - 4y + 1

= ( 2y )² - 2 × 2y × 1 + 1²

= ( 2y - 1 )²

[ By algebraic identity,

a² - 2ab + b² = ( a - b )² ]

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

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