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Addition and Subtraction of Algebraic Expression

Subtract:- ...

Question

Subtract:-
$2 a (a - 3 b + 5 c)$ from $5 a (2 a - 3 c + b)$

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Solution

Let $X = 2 a (a - 3 b + 5 c)$
$Y = 5 a (2 a - 3 c + b)$

According to the question,
$Y - X$
$\Rightarrow Y - X = 5 a (2 a - 3 c + b) - 2 a (a - 3 b + 5 c)$
$= 10 a^{2} - 15 a c + 5 a b - 2 a^{2} + 6 a b - 10 a c$
$= 8 a^{2} - 25 a c + 11 a b$

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