Question

Factorise it using identify 9x^2 +6xy+y^2​

Answer 1

9x^2 + 6xy + y^2  

= (3x)^2 + 2×3x×y + (y)^2

= (a)^2 +2×a×b + (b)^2 = (a+b)^2

= (3x + y)^2

Answer 2

9x^2 +6xy+ y^2 = (3x)^2 +(2×3x×y) + y^2

Using identity x^2+ 2xy + y^2 =(x+y)^2

Here, x = 3x

y = y

9x^2+6xy + y^2 = (3x)^2+ ( 2×3x×y)+y^2

=(3x+y)^2. Ans

Hope it will help you!