What is (3x-4y)-(x+2y) ?

The solution to (3x-4y)-(x+2y) is 2x-6y

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simplify (3x-4y)-(x+2y)

simplify

(3 x - 4 y) - (x + 2 y)

2 x - 6 y

Solution steps

(3 x - 4 y) - (x + 2 y)

Apply rule:

(a) = a

(3 x - 4 y) = 3 x - 4 y

= 3 x - 4 y - (x + 2 y)

Apply the distributive law:

- (a + b) = - a - b

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

= 3 x - 4 y - x - 2 y

Group like terms

= 3 x - x - 4 y - 2 y

Add similar elements:

3 x - x = 2 x

= 2 x - 4 y - 2 y

Add similar elements:

- 4 y - 2 y = - 6 y

= 2 x - 6 y

x (x + 1) (x + 2)

- 4 \cdot (- 1)

(- 4 m + 4 n) (4 m + 4 n)

(- 2 x^{2} - 4 x + 2) - (- 6 x + 2)

(- 4 x^{2} + x) - (- 8 x^{2} - 2 x + 6)