What is (3x-3y-9)-[5-(x-y)] ?

The solution to (3x-3y-9)-[5-(x-y)] is 4x-4y-14

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simplify (3x-3y-9)-[5-(x-y)]

simplify

(3 x - 3 y - 9) - [5 - (x - y)]

4 x - 4 y - 14

Solution steps

(3 x - 3 y - 9) - (5 - (x - y))

Apply rule:

(a) = a

(3 x - 3 y - 9) = 3 x - 3 y - 9

= 3 x - 3 y - 9 - (5 - (x - y))

Simplify

- (5 - (x - y)) : - 5 + x - y

= 3 x - 3 y - 9 - 5 + x - y

Group like terms

= 3 x + x - 3 y - y - 9 - 5

Add similar elements:

3 x + x = 4 x

= 4 x - 3 y - y - 9 - 5

Add similar elements:

- 3 y - y = - 4 y

= 4 x - 4 y - 9 - 5

Subtract the numbers:

- 9 - 5 = - 14

= 4 x - 4 y - 14

(2 - 4 n) 17

x^{8} y^{2}

2 \frac{2}{3} \div \frac{4}{15}

- 10 (8 f - 9 f - 9) - 7 f

(2 - \frac{1}{2 x})^{6}