Question

Doy corona es de matemática ​

Answer 1

1-

$(3x + 2y - 2) + (2x - 2y + 2) =\\\\(3 + 2)x + (2 - 2)y + (-2+2) = 5x$

2-

$(8a + 5b + 6c) + (-8a + 4b - 8c) =\\\\(8 - 8)a + (5+4)b + (6-8)c =\\\\0a + 9b - 2c = 9b - 2c$

3-

$(2a + 3b) + (5c + 2) + (8a - 1) =\\\\(2 + 8)a + 3b + 5c + (2 - 1) = 10a + 3b + 5c + 1$

4-

$(a - b) + (b - c) + (c + d) =\\a + (-1 + 1)b + (-1 + 1)c + d =a + d$

5-

$(3ab + 3bc + 4cd) + (2bc + 2cd - 3dc) =\\\\3ab + (3+2)bc + (4+2)cd - 3dc = 3ab + 5bc + 6cd - 3dc$

6-

$(2x^{2} + 4xy + y^{2}) + (6x^{2} - 3xy + 2y^{2})=\\\\(2 + 6)x^{2} + (4 - 3)xy + (1 + 2) y^{2} = 8x^{2} + xy + 3y^{2}$

7-

$m + 4mn - 2mn + n^{2} =\\\\m + (4-2)mn + n^{2} = m + 2mn + n^{2}$

8-

$x^{3} + xy^{2} + y^{3} + 5x^{2}y + x^{3} - y^{3} =\\\\(1 + 1)x^{3} + xy^{2} + (1 - 1)y^{3} + 5x^{2}y = \\\\2x^{3} + xy^{2} + 5x^{2}y$