What is (3a+7b-9)-(5a+9b+21) ?

The solution to (3a+7b-9)-(5a+9b+21) is -2a-2b-30

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simplify (3a+7b-9)-(5a+9b+21)

simplify

(3 a + 7 b - 9) - (5 a + 9 b + 21)

- 2 a - 2 b - 30

Solution steps

(3 a + 7 b - 9) - (5 a + 9 b + 21)

Apply rule:

(a) = a

(3 a + 7 b - 9) = 3 a + 7 b - 9

= 3 a + 7 b - 9 - (5 a + 9 b + 21)

Apply the distributive law:

- (a + b) = - a - b

- (5 a + 9 b + 21) = - 5 a - 9 b - 21

= 3 a + 7 b - 9 - 5 a - 9 b - 21

Group like terms

= 3 a - 5 a + 7 b - 9 b - 9 - 21

Add similar elements:

3 a - 5 a = - 2 a

= - 2 a + 7 b - 9 b - 9 - 21

Add similar elements:

7 b - 9 b = - 2 b

= - 2 a - 2 b - 9 - 21

Subtract the numbers:

- 9 - 21 = - 30

= - 2 a - 2 b - 30

(2 x^{- 2})^{- 5}

26 + 26

12 x - 28 y + 52

\frac{125}{27}

- 14 - 7

What is (3a+7b-9)-(5a+9b+21) ?
The solution to (3a+7b-9)-(5a+9b+21) is -2a-2b-30