Question

subtract -2x² + 5xy + 4y² from the sum of x² - 2xy + y² and 3x² + 4xy - y²

Answer 1

Answer:

$2x {}^{2} - 3xy - 4y {}^{2}$

Step-by-step explanation:

$x {}^{2} - 2xy + y {}^{2} + 3x {}^{2} + 4xy - y {}^{2} \\ =4x {}^{2} + 2xy$

Then,

$4x {}^{2} + 2xy-(2x {}^{2} + 5xy + 4y {}^{2} \\ = 4x {}^{2} + 2xy - 2x {}^{2} - 5xy - 4y {}^{2} \\ = 2x {}^{2} - 3xy - 4y {}^{2}$