Question

10. Calcula la resta de la siguiente expresión algebraica: (5x^2 + 4y^2 - 5x + 4y - 2) – (2x^2 - y^2 - 7x + 3y + 8)

Answer 1

$(5x^2 + 4y^2 - 5x + 4y - 2) – (2x^2 - y^2 - 7x + 3y + 8) = \\ \\ 5x {}^{2} + 4y { }^{2} - 5x + 4y - 2 - (2x {}^{2} - y {}^{2} - 4y + 8) = \\ \\ 5x {}^{2} + 4y {}^{2} - 5x + 4y - 2 - 2x {}^{2} + y {}^{2} + 4y - 8 = \\ \\ = 3x {}^{2} + 5y {}^{2} - 5x + 8y - 10$