Question

$Add \: :\ \textless \ br /\ \textgreater \ \left({{5}{x}^{2}\mathrm{{-}}\frac{2}{7}{x}\mathrm{{+}}\frac{9}{7}}\right)+ \left({\frac{{x}^{2}}{2}\mathrm{{+}}\frac{3}{7}{x}\mathrm{{-}}\frac{1}{6}}\right) + \left({\frac{\mathrm{{-}}{4}{x}^{2}}{5}\mathrm{{+}}\frac{7}{9}{x}\mathrm{{+}}{5}}\right) \\ \ \textless \ br /\ \textgreater \ \ \textless \ br /\ \textgreater \ \ \textless \ br /\ \textgreater \ \ \textless \ br /\ \textgreater \ \ \textless \ br /\ \textgreater$
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Answer 1

Step-by-step explanation:

Hello user,

Given that:

$\tt \red{\bigg(5 {x}^{2} - \frac{2}{7} x + \frac{9}{7} \bigg) + \bigg( \frac{ {x}^{2} }{2} + \frac{3}{7} x - \frac{1}{6} \bigg ) + \bigg( \frac{ - 4 {x}^{2} }{5} + \frac{7}{9} + 5 \bigg) }$

What to do:

To add.

Solution:

We have,

$\tt \red{\bigg(5 {x}^{2} - \frac{2}{7} x + \frac{9}{7} \bigg) + \bigg( \frac{ {x}^{2} }{2} + \frac{3}{7} x - \frac{1}{6} \bigg ) + \bigg( \frac{ - 4 {x}^{2} }{5} + \frac{7}{9} + 5 \bigg) }$

Collecting the like terms and adding,we get the required sum.

$⟹ \tt \red{\bigg( {5x}^{2} + \frac{ {x}^{2} }{2} - \frac{4}{5} {x}^{2} \bigg) + \bigg( - \frac{2}{7} x + \frac{3}{7} x + \frac{7}{9} x \bigg) + \bigg( \frac{9}{7} - \frac{1}{6} + 5 \bigg)}$

$⟹ \tt \red{\bigg(5 + \frac{1}{2} - \frac{4}{5} \bigg) {x}^{2} + x \bigg( - \frac{2}{7} + \frac{3}{7} + \frac{7}{9} \bigg) + \bigg( \frac{9}{7} + \frac{5}{1} - \frac{1}{6} \bigg) }$

$⟹ \tt { \frac{47}{10} {x}^{2} + \frac{58}{63} x + \frac{275}{42} } \: \: ans.$