Question

25x square + y square + 9z square -10xy-6yz+30xz

Answer 1

$\boxed{answer}$

$= 25 {x}^{2} + {y}^{2} + {9z}^{2} - 10xy - 6yz + 30xy$

$now \: we \: can \: write \: it \: as$

$= {( - 5x)}^{2} + { ( y)}^{2} + {( - 3z)}^{2} + 2( - 5x)(y)$

$+ 2(y)( - 3z) + 2( - 3z)( - 5x).$


$= {( - 5x + y - 3z)}^{2} - > (since \: it \: is \: in \: the \:$

$form \: of \: {(a + b + c)}^{2} = \: {a}^{2} + {b}^{2} + {c}^{2} + 2ab$

$+ 2bc + 2ca)$


$= {(-5x + y - 3z)}( - 5x + y - 3z)$

SO, ANS :

$= ( - 5x + y - 3z)( - 5x + y - 3z)$