Question

factorise : 2x²+5xy+2y²​

Answer 1

⠀⠀⠀⠀⠀⠀⠀⠀Question

2x²+5xy+2y²

⠀⠀⠀⠀⠀⠀⠀⠀Solution

$2 x ^ { 2 } + 5 x y + 2 y ^ { 2 }$

$\left(2x+y\right)\left(x+2y\right)$

$\huge{ \overline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }}$

⠀⠀⠀⠀⠀⠀⠀⠀Answer

$\left(x+2y\right)\left(2x+y\right)$

Answer 2

2x² + 5xy + 2y²

= 2x² + (4+1)xy + 2y²

= 2x² + 4xy + xy + 2y²

= 2x(x + 2y) + y(x + 2y)

= (x+2y)(2x+y)

Hope it helps you!!