Question

3. Factorise the following using appropriate identities
(i) 9x2 + 6xy + y2 +
(ii) 4y2 - 4y + 1
(iii) x2 -y2/100​

Answer 1

Answer:

$\huge\mathfrak\pink{☆Answer☆}$

Step-by-step explanation:

1. 9x^2+6xy+y^2

=>(3x)^2+2(3x)(y) +(y)^2

=>(3x+y)^2 [As (a+b)^2=a^2+b^2+2ab]

2. 4y^2-4y+1

=>4y^2-2y-2y+1 [Middle term splitting]

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

=>So y=1 (Extraneous roots).

3.x^2-y^2/10

=>(x)^2-(y)^2/(10)^2

=>(x+y)(x-y)/10^2 (a^2-b^2=(a+b)(a-b).

HOPE IT HELPS.