Question

9asquare+4bsquare+16csquare+12ab-16bc-24ca

Answer 1

9a² + 4b² + 16c² + 12ab - 16bc - 24ca


=> ( - 3a )² + ( - 2b )² + ( 4 c )² + 2[ ( -3a × -2b ) + ( -2b × 4c ) + ( 4c × - 3a ) ]




We know, a² + b² + c² + 2( ab + bc + ca ) = ( a + b + c )²



Hence,

.

=> [ ( -3a ) + ( -2b ) + ( 4c ) ]²


=> ( -3a - 2b + 4c )²






$.$

Answer 2

Answer:

Step-by-step explanation:

9a² + 4b² + 16c² + 12ab - 16bc - 24ca

=> ( - 3a )² + ( - 2b )² + ( 4 c )² + 2[ ( -3a × -2b ) + ( -2b × 4c ) + ( 4c × - 3a ) ]

We know, a² + b² + c² + 2( ab + bc + ca ) = ( a + b + c )²

Hence,

.

=> [ ( -3a ) + ( -2b ) + ( 4c ) ]²

=> ( -3a - 2b + 4c )²