Question

Simplify :3x + 7y – [ 2x + 2y – { x – y – ( 2x + 2y – x-y)}]​

Answer 1

Answer:

x + 3y is the simplified form.

Explanation:

➡ 3x + 7y – [ 2x + 2y – { x – y – ( 2x + 2y – x– y)}]

➡ 3x + 7y – [ 2x + 2y – { x – y – ( 2x – x + 2y– y)}]

➡ 3x + 7y – [ 2x + 2y – { x – y – ( x + y)}]

➡ 3x + 7y – { 2x + 2y – ( x – y – x – y )}

➡ 3x + 7y – { 2x + 2y – ( –2 y )}

➡ 3x + 7y – ( 2x + 2y + 2 y )

➡ 3x + 7y – { 2x + ( 2 + 2 )y }

➡ 3x + 7y – ( 2x + 4y )

➡ 3x + 7y – 2x – 4y

➡ 3x – 2x + 7y – 4y

➡ x + 3y

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Here, we are only given with sum. It only includes brackets, addition and subtraction. Addition and subtraction can be done at the same time. But with brackets, we should first solve round brackets (), then curly brackets {} and then braces/ square brackets []

As the order is :

[ { ( ) } ]

round brackets ( parenthesis) are under curly brackets and curly brackets are under braces/ square brackets.