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Popular >

simplify (a-b)-(b-a)

Solution

simplify

(a - b) - (b - a)

Solution

2 a - 2 b

Solution steps

(a - b) - (b - a)

Apply rule:

(a) = a

(a - b) = a - b

= a - b - (b - a)

Apply the distributive law:

- (a - b) = - a + b

- (b - a) = - b + a

= a - b - b + a

Add similar elements:

- b - b = - 2 b

= a - 2 b + a

Group like terms

= a + a - 2 b

Add similar elements:

a + a = 2 a

= 2 a - 2 b

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Frequently Asked Questions (FAQ)

What is (a-b)-(b-a) ?
The solution to (a-b)-(b-a) is 2a-2b