Question

efectuar la suma de los siguientes polinomios ayuda por fa​

Answer 1

SOLUCIÓN

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$(\dfrac{2}{3}a^2+\dfrac{1}{5}ab-\dfrac{1}{2}b^2)+(\dfrac{5}{6}a^2-\dfrac{1}{10}ab+\dfrac{1}{6}b^2)+(-\dfrac{1}{12}a^2+\dfrac{1}{20}ab-\dfrac{1}{3}b^2)\\\\\\Agrupamos\:los\:t\'erminos\:semejantes\\\\\\(\dfrac{2}{3}a^2+\dfrac{5}{6}a^2-\dfrac{1}{12}a^2)+(\dfrac{1}{5}ab-\dfrac{1}{10}ab+\dfrac{1}{20}ab)+(-\dfrac{1}{2}b^2+\dfrac{1}{6}b^2-\dfrac{1}{3}b^2)\\\\\\Sumamos$

$(\dfrac{8}{12}a^2+\dfrac{10}{12}a^2-\dfrac{1}{12}a^2)+(\dfrac{4}{20}ab-\dfrac{2}{20}ab+\dfrac{1}{20}ab)+(-\dfrac{3}{6}b^2+\dfrac{1}{6}b^2-\dfrac{2}{6}b^2)\\\\\\(\dfrac{8+10-1}{12}a^2)+(\dfrac{4-2+1}{20}ab)+(\dfrac{-3+1-2}{6}b^2)\\\\\\\boxed{\boxed{\boldsymbol{\dfrac{17}{12}a^2+\dfrac{3}{20}ab-\dfrac{4}{6}b^2}}}$