Question

Subtract the sum of 3x^2 + 2xy – 2y^2 and 5y^2 - 7xy from 5x^2 + 2y^2 – 3xy.​

Answer 1

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Answer 2

Answer:

The answer is

$- 4 {x}^{2} + 23 {y}^{2} - 8xy$

Step-by-step explanation:

$({(3x)}^{2} + 2xy - {(2y)}^{2} ) + ( {(5y)}^{2} - 7xy) \\ = 9 {x }^{2} + 2xy - 4 {y}^{2} + 25 {y}^{2} - 7xy \\ = 9 {x}^{2} - 5xy + 21 {y}^{2} \\( 5 {x }^{2} + 2 {y}^{2} - 3xy) - (9 {x}^{2} - 5xy + 21 {y}^{2} ) \\ 5 {x}^{2} + 2 {y}^{2} - 3xy - 9 {x}^{2} + 21 {y}^{2} - 5xy \\ - 4 {x}^{2} + 23 {y}^{2} - 8xy$

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