Question

27x
72
xy
+48y²
$27x ^{2} - 72xy + 48y^{2}$
​

Answer 1

$27x ^{2} - 72xy + 48y^{2}$

$= 9 \times 3 {x}^{2} - 24 \times 3xy + 163 {y}^{2}$

$= 3(9 {x}^{2} - 24xy + 16 {y}^{2})$

$= 3{( {(3x)}^{2} - 2(3x)(4y) + {(4y)}^{2} } )$

$= 3(3x - 4y)(3x - 4y)$

$= 3(3x - 4y)^{2}$