Question

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Answer 1

Q5. Q6

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Answer 2

Answer:

$subtract \: 5 {x}^{2} + 3xy - {y}^{2} from \: 2 {x}^{2} - 7xy + 3 {y}^{2} \\ = ( 5 {x}^{2} + 3xy - {y}^{2}) - (2 {x}^{2} - 7xy + 3 {y}^{2}) \\ = ( 5 {x}^{2} + 3xy - {y}^{2}) - 2 {x}^{2} - 7xy + 3 {x}^{2} \\ = 3 {x}^{2} - 4xy + 2{x}^{2} \\ hence \: 3 {x}^{2} - 4xy + 2{x}^{2} \: should \: be \: add \: to \: 5 {x}^{2} + 3xy - {y}^{2} \: to \: get \: 2 {x}^{2} - 7xy + 3 {y}^{2}$