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c) $(12r^{5}-8r^{2}+2)-(3r^{3}+4r^{2}+5)$

Question

c) $(12r^{5}-8r^{2}+2)-(3r^{3}+4r^{2}+5)$

Explanation:

Step1: Eliminar paréntesis (cambiar signos)

$12r^5 - 8r^2 + 2 - 3r^3 - 4r^2 - 5$

Step2: Agrupar términos semejantes

$12r^5 - 3r^3 + (-8r^2 - 4r^2) + (2 - 5)$

Step3: Simplificar términos semejantes

$12r^5 - 3r^3 - 12r^2 - 3$

Answer:

$12r^5 - 3r^3 - 12r^2 - 3$