## Filters

Q&A - Ask Doubts and Get Answers
Q

# Factorise the following using appropriate identities: (i) 9 x ^2 + 6xy + y ^2

3.(iii) Factorise the following using appropriate identities:

(iii)    $9x^2 + 6xy + y^2$

Answers (1)
Views

We can rewrite $9x^2 + 6xy + y^2$ as

$\Rightarrow 9x^2 + 6xy + y^2 = (3x)^2+2\times 3x\times y +(y)^2$

Using identity  $\Rightarrow (a+b)^2 = (a)^2+2\times a\times b +(b)^2$

Here, $a= 3x \ \ and \ \ b = y$

Therefore,

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

Exams
Articles
Questions