Question

Factorise the following using appropriate identities : 1) 4x² + 20x + 25 2) 999² 3) 9y² - 66yz +121z²​

Answer 1

Answer:

Here, we will use following identities:<br>

<br>

<br><br> (i)

<br>

<br><br> (ii)

<br>

<br><br> (iii)

<br> As,

, we can write above as,<br>

Answer 2

Answer:

1) 4x² + 20x + 25

= 4x² + 10x + 10x + 25

= 2x ( 2x + 5 ) + 5 ( 2x + 5 )

= ( 2x + 5 ) ( 2x + 5)

= ( 2x + 5 )²