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

The solution to (2x-3y)-(-x+2y) is 3x-5y

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

simplify

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

3 x - 5 y

Solution steps

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

Apply rule:

(a) = a

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

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

Apply the distributive law:

- (- a + b) = a - b

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

= 2 x - 3 y + x - 2 y

Group like terms

= 2 x + x - 3 y - 2 y

Add similar elements:

2 x + x = 3 x

= 3 x - 3 y - 2 y

Add similar elements:

- 3 y - 2 y = - 5 y

= 3 x - 5 y

6 (x - 4 y)

(2 x + 3) (2 x - 1) (x + 2) (x + 2)

- 9^{- \frac{1}{2}}

lo g_{3} ((\frac{3}{x})^{3})

x^{3} + 15 x^{2} + 75 x + 125