What is 3(3a-5b)-(a-7b) ?

The solution to 3(3a-5b)-(a-7b) is 8a-8b

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simplify 3(3a-5b)-(a-7b)

simplify

3 (3 a - 5 b) - (a - 7 b)

8 a - 8 b

Solution steps

3 (3 a - 5 b) - (a - 7 b)

Apply the distributive law:

- (a - b) = - a + b

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

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

Expand

3 (3 a - 5 b) : 9 a - 15 b

= 9 a - 15 b - a + 7 b

Group like terms

= 9 a - a - 15 b + 7 b

Add similar elements:

9 a - a = 8 a

= 8 a - 15 b + 7 b

Add similar elements:

- 15 b + 7 b = - 8 b

= 8 a - 8 b

1 \frac{1}{9}

5 a - a

2 (2.5 - ∣ - 6 ∣)

(2 a)^{4}

- 10 - (- 6)