Identify the terms and their factors in the following expressions show the terms and factors by tree diagrams.
$- a b + 2 b^{2} - 3 a^{2}$

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Solution

Find the required terms and their factors by tree diagram.
Given expression: $- a b + 2 b^{2} - 3 a^{2}$
By using tree diagram we get,
Terms: $- a b, 2 b^{2}, - 3 a^{2}$
Factors: $(- 1, a, b); (2, b, b); (- 1, 3, a, a)$
Hence, the terms of the given expression are $- a b, 2 b^{2}, - 3 a^{2}$ and their factors are $(- 1, a, b); (2, b, b); (- 1, 3, a, a)$ respectively.

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