Question

Factories the filling using appropriate identities.

(I) 4y^2 - 4y + 1.​

Answer 1

$\large\sf { \underline{ \underline\green{Given :- }}}$

$\sf4y^2 - 4y + 1.$

$\large\sf { \underline{ \underline\orange{Solution:-}}}$

$\sf \mapsto \: ( 2y)² - 2 \times 2y \times 1 + 1²$

$\star{ \underline{ \boxed { \sf \pink{ \mapsto( 2y - 1)²}}}}$

$\bf \: By \: algebraic \: identity:-$

$\sf \mapsto \: x²-2xy + y² = (x - y)²$

$\star{ \underline{ \boxed { \sf \pink{ \mapsto(2y - 1) (2y - 1)}}}}$

Answer 2

Step-by-step explanation:

We know 4y2−2y+1 =(2y)2−2(2y)(1)+(1)2

We know appropriate identities x2−2xy+y2=(x−y)2

Here x=2y and y=1, then 

4y2−4y+1= (2y−1)2