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

1.	Simplify the expression :-[-2x - {3y - (2x - 3y)+(3x – 2y)}+ 2x]answer should be x+4y
Answer» 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. ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ $\longrightarrow \sf {- \bigg[-2x - \bigg\{3y - 2x + 3y +3x - 2y \bigg\}+ 2x \bigg] } \\ \\$ Firstly, we removed the () brackets by performing multiplication of the expression in the brackets with the signs existed just before the brackets ( + and - ) . ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ $\longrightarrow \sf {- \bigg[-2x - \bigg\{3y +3y -2y - 2x +3x \bigg\}+ 2x \bigg] } \\ \\$ Now, we grouped the like terms, i.e terms having x as common and the terms having y as common in CURLY brackets. ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ $\longrightarrow \sf {- \bigg[-2x - \bigg\{4y +x \bigg\}+ 2x \bigg] } \\ \\$ We performed ADDITION and subtraction of the terms in the curly brackets. ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ $\longrightarrow \sf {- \bigg[-2x -4y -x + 2x \bigg] } \\ \\$ We removed curly brackets {} by performing multiplication of the expression in the brackets with the signs existed just before the brackets ( – ) . ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ $\longrightarrow \sf {- \bigg[-2x -x +2x -4y \bigg] } \\ \\$ We grouped the like terms, i.e terms having x as common and the terms having y as common in big brackets. ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ $\longrightarrow \sf {- \bigg[-x -4y \bigg] } \\ \\$ We performed addition of the like terms. ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ $\longrightarrow\boxed{ \sf {x +4y } }\\ \\$ 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. _______________________________ * Kindly swipe left in order to VIEW whole calculation if you find any difficulty while viewing the CALCULATIONS from the app. _______________________________

Simplify the expression :-[-2x - {3y - (2x - 3y)+(3x – 2y)}+ 2x]answer should be x+4y

Answer»

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.

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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

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

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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

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

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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

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

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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

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

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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

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

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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

We performed addition of the like terms.

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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

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.

_______________________________

* Kindly swipe left in order to VIEW whole calculation if you find any difficulty while viewing the CALCULATIONS from the app.