Question

By how much should 4xsquare+ysquare+4xy be increased to get xsquare-ysquare+3xy? simplyfy this question​

Answer 1

Answer:-

$\bf{ z \: = - 3 {x}^{2} - 2 {y}^{2} - xy}$

Step - by - step explanation:-

Solution:-

$\bf{let \: the \: number \: is \: z \: which \: when \: added \: } \\ \bf{in \: 4 {x}^{2} + {y}^{2} + 4xy \: \: \: \: to \: get \: {x}^{2} - {y}^{2} + 3xy}$

$\bf{4 {x}^{2} + {y}^{2} + 4xy + (z) = {x}^{2} - {y}^{2} + 3xy} \\ \\ \bf{z = {x}^{2} - {y}^{2} + 3xy - 4 {x}^{2} - {y}^{2} - 4xy} \\ \\ \bf{ z \: = - 3 {x}^{2} - 2 {y}^{2} - xy}$

This is the required solution.