What is (2x+3y)-(2x-3y) ?

The solution to (2x+3y)-(2x-3y) is 6y

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simplify (2x+3y)-(2x-3y)

simplify

(2 x + 3 y) - (2 x - 3 y)

6 y

Solution steps

(2 x + 3 y) - (2 x - 3 y)

Apply rule:

(a) = a

(2 x + 3 y) = 2 x + 3 y

= 2 x + 3 y - (2 x - 3 y)

Apply the distributive law:

- (a - b) = - a + b

- (2 x - 3 y) = - 2 x + 3 y

= 2 x + 3 y - 2 x + 3 y

Group like terms

= 2 x - 2 x + 3 y + 3 y

Add similar elements:

2 x - 2 x = 0

= 3 y + 3 y

Add similar elements:

3 y + 3 y = 6 y

= 6 y

\frac{5}{9} - \frac{4}{9} + \frac{1}{9}

\frac{x + 8}{x ^{2} - 64}

1.05

(x^{2} - x + 1) (x + 1)