Add the following:
$6 a b, - 5 b a, - 3 a^{2}$

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Solution

Adding the algebraic expressions
Given terms are, $6 a b, - 5 b a, - 3 a^{2}$
To add two or more terms, group the like terms and add each group of like terms separately.
So,
$6 a b + (- 5 b a) + (- 3 a^{2}) = [6 a b + (- 5 b a)] + (- 3 a^{2}) = [6 + (- 5)] a b + (- 3 a^{2}) = [6 - 5] a b - 3 a^{2} = a b - 3 a^{2}$
Hence, the required answer is $a b - 3 a^{2}$

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