Question

Simplify the expression :-[-2x - {3y - (2x - 3y)+(3x – 2y)}+ 2x]

answer should be x+4y​

Answer 1

To simplify :

$\sf {- \bigg[-2x - \bigg\{3y - \bigg (2x - 3y \bigg)+ \bigg (3x - 2y \bigg) \bigg\}+ 2x \bigg] }$

Answer :

x + 4y

Solution :

According to the given question, we have this expression :

$\longrightarrow \sf {- \bigg[-2x - \bigg\{3y - \bigg (2x - 3y \bigg )+ \bigg(3x - 2y \bigg) \bigg\}+ 2x \bigg] }$

By using the rule of BODMAS , we need solve () this bracket first, then { } this one and after that [ ] this one.

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$\longrightarrow \sf {- \bigg[-2x - \bigg\{3y - 2x + 3y +3x - 2y \bigg\}+ 2x \bigg] }$

Firstly, we removed the () brackets by performing multiplication of the expression in the brackets with the signs existed just before the brackets ( + and - ) .

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$\longrightarrow \sf {- \bigg[-2x - \bigg\{3y +3y -2y - 2x +3x \bigg\}+ 2x \bigg] }$

Now, we grouped the like terms, i.e terms having x as common and the terms having y as common in curly brackets.

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$\longrightarrow \sf {- \bigg[-2x - \bigg\{4y +x \bigg\}+ 2x \bigg] }$

We performed addition and subtraction of the terms in the curly brackets.

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$\longrightarrow \sf {- \bigg[-2x -4y -x + 2x \bigg] }$

We removed curly brackets {} by performing multiplication of the expression in the brackets with the signs existed just before the brackets ( – ) .

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$\longrightarrow \sf {- \bigg[-2x -x +2x -4y \bigg] }$

We grouped the like terms, i.e terms having x as common and the terms having y as common in big brackets.

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$\longrightarrow \sf {- \bigg[-x -4y \bigg] }$

We performed addition of the like terms.

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$\longrightarrow\boxed{ \sf {x +4y } }$

Lastly, we removed big brackets [] by performing multiplication of the expression in the brackets with the signs existed just before the brackets ( – ) .

Therefore, x + 4y is the required answer.

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