Question

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Answer 1

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Answer 2

Question

$\tt \: (- 3a {}^{2} b {}^{2}) + ( - \frac{5}{2}a {}^{2} b {}^{2}) + 4a {}^{2} b {}^{2} + \frac{2}{3}a {}^{2} b {}^{2}$

Answer

$\rm \: (- 3a {}^{2} b {}^{2}) + ( - \frac{5}{2}a {}^{2} b {}^{2}) + 4a {}^{2} b {}^{2} + \frac{2}{3}a {}^{2} b {}^{2}$

Taking a²b² as common,

$\rm \mapsto \: a {}^{2} b {}^{2} \{ -3 - \frac{5}{2} + 4 + \frac{2}{3} \}$

Finding the LCM,

$\rm \mapsto \: a {}^{2}b {}^{2} \{ \frac{ - 18 - 15 + 24 + 4}{6} \}$

$\rm \mapsto \: a {}^{2}b {}^{2} \{ \frac{ - 33 + 28}{6} \}$

$\rm \mapsto \: a {}^{2}b {}^{2} (\frac{ - 5}{6} )$

The final answer,

$\boxed {\bf\mapsto \: \frac{ - 5}{ \: \: \: 6} a {}^{2}b {}^{2} }$