Question

Factorise 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
Hope this answer will help you and plz mark it as Brainliest

Answer 2

Answer:

9x²+6xy+y² = (3x+y)(3x+y)

Step-by-step explanation:

Given quadratic expression

9x²+6xy+y²

=$(3x)^{2}+2\times 3x\y +y^{2}$

=$(3x+y)^{2}$

By algebraic identity:

$\boxed {a^{2}+2\times ab+b^{2}=(a+b)^{2}}$

Therefore,

9x²+6xy+y² = (3x+y)(3x+y)

••••