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Simplify the given expression. (a-2b)(b-3a)+(a+b)(a-3b)-(b-3a)(4a-5b)
Question

Simplify the given expression.
(a-2b)(b-3a)+(a+b)(a-3b)-(b-3a)(4a-5b)

A.

8a²-10ab

B.

8a²+10ab

C.

10a²-14ab

D.

10a²-4ab

Correct option is C

Given: 
(a-2b)(b-3a)+(a+b)(a-3b)-(b-3a)(4a-5b) 
Concept Used:

BODMAS rule;

Operation preference wiseSymbolBrackets[],,()Orders,of²(power),(root),ofDivision÷Multiplication×Addition+Subtraction \begin{array}{|c|c|} \hline \bf \text{Operation preference wise} & \text{Symbol} \\ \hline Brackets &[],{}, () \\ \hline Orders, of & ² (power), √ (root) , of \\ \hline Division & ÷ \\ \hline Multiplication & × \\ \hline Addition & + \\ \hline Subtraction & - \\ \hline \end{array}​​

Solution:
 

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