Question

les agradecería mucho que me ayuden ( los que lo sepan muchas gracias)​

Answer 1

Respuesta:

$A= 7m^2 + 3mn + 6n^2\\B= -5m^3 + 5mn + 6m^2 - n^2\\C= 6m^3 + 4mn -2n^2 + m^2$

$46. A - B + C\\\\7m^2 + 3mn + 6n^2 -(-5m^3 + 5mn + 6m^2 - n^2) + 6m^3 + 4mn - 2n^2 + m^2\\\\7m^2 + 3mn + 6n^2 + 5m^3 - 5mn -6m^2 + n^2 + 6m^3 + 4mn -2n^2 + m^2\\\\2m^2 + 2mn + 5n^2 + 11m^3\\\\\\\\47. A + B + C\\7m^2 + 3mn + 6n^2 - 5m^3 + 5mn + 6m^2 - n^2 + 6m^3 + 4mn - 2n^2 + m^2\\\\14m^2 + 12mn + 3n^2 + m^3$

$48. A - B - C\\7m^2 + 3mn + 6n^2 -(-5m^3 + 5mn + 6m^2 - n^2) - (6m^3 + 4mn - 2n^2 + m^2)\\\\7m^2 + 3mn + 6n^2 + 5m^3 - 5mn -6m^2 + n^2 - 6m^3 -4mn + 2n^2 - m^2\\\\-6mn + 9n^2 - m^3$

$49. (A + B) - (A - C)\\(7m^2 + 3mn + 6n^2 + (-5m^3 + 5mn + 6m^2 - n^2)) - (7m^2 + 3mn + 6n^2-(6m^3 + 4mn - 2n^2 + m^2))\\\\(7m^2 + 3mn + 6n^2 -5m^3 + 5mn + 6m^2 -n^2) - (7m^2 + 3mn + 6n^2 -6m^3 -4mn + 2n^2 - m^2)\\\\(13m^2 + 8mn + 5n^2 - 5m^3) - (6m^2 - mn + 8n^2 - 6m^3)\\\\13m^2 + 8mn + 5n^2 - 5m^3 - 6m^2 + mn - 8n^2 + 6m^3\\\\7m^2 + 9mn - 3n^2 + m^3$

$50. (A - B)+(A + C)\\(7m^2 + 3mn + 6n^2-(-5m^3 + 5mn + 6m^2 - n^2)) + (7m^2 + 3mn + 6n^2 + 6m^3 +4mn - 2n^2 + m^2)\\\\(7m^2 + 3mn + 6n^2 + 5m^3 -5mn -6m^2 + n^2) + 8m^2+ 7mn + 4n^2 + 6m^3\\\\m^2 - 2mn + 7n^2 + 5m^3 + 8m^2 + 7mn + 4n^2 + 6m^3\\\\9m^2 + 5mn + 11n^2 + 11m^3$

$51. A - (B + A + C)\\7m^2 + 3mn + 6n^2 - (-5m^3 + 5mn + 6m^2 - n^2 + 7m^2 + 3mn + 6n^2 + 6m^3 + 4mn - 2n^2 + m^2)\\\\7m^2 + 3mn + 6n^2 - (m^3 + 12mn + 14m^2 +3n^2 )\\\\7m^2 + 3mn + 6n^2 - m^3 - 12mn - 14m^2 - 3n^2\\\\-7m^2 - 9mn + 3n^2 - m^3$

Explicación paso a paso: