What is (4x+7y)-(-9x-2y) ?

The solution to (4x+7y)-(-9x-2y) is 13x+9y

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simplify (4x+7y)-(-9x-2y)

simplify

(4 x + 7 y) - (- 9 x - 2 y)

13 x + 9 y

Solution steps

(4 x + 7 y) - (- 9 x - 2 y)

Apply rule:

(a) = a

(4 x + 7 y) = 4 x + 7 y

= 4 x + 7 y - (- 9 x - 2 y)

Apply the distributive law:

- (- a - b) = a + b

- (- 9 x - 2 y) = 9 x + 2 y

= 4 x + 7 y + 9 x + 2 y

Group like terms

= 4 x + 9 x + 7 y + 2 y

Add similar elements:

4 x + 9 x = 13 x

= 13 x + 7 y + 2 y

Add similar elements:

7 y + 2 y = 9 y

= 13 x + 9 y

- 3 d^{8} (- 4 d^{- 14})

2 \cdot \frac{1}{7}

12 \cdot 75

(2 x + 3) (x^{2} - 5 x + 4)

3.5 \cdot (5.8 - 7.09)