What is (-5)(2a-3b+5c)-4(2a+6-2c) ?

The solution to (-5)(2a-3b+5c)-4(2a+6-2c) is -18a+15b-17c-24

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simplify (-5)(2a-3b+5c)-4(2a+6-2c)

simplify

(- 5) (2 a - 3 b + 5 c) - 4 (2 a + 6 - 2 c)

- 18 a + 15 b - 17 c - 24

Solution steps

(- 5) (2 a - 3 b + 5 c) - 4 (2 a + 6 - 2 c)

Apply rule:

(- a) = - a

(- 5) = - 5

= - 5 (2 a - 3 b + 5 c) - 4 (2 a + 6 - 2 c)

Expand

- 5 (2 a - 3 b + 5 c) : - 10 a + 15 b - 25 c

= - 10 a + 15 b - 25 c - 4 (2 a + 6 - 2 c)

Expand

- 4 (2 a + 6 - 2 c) : - 8 a - 24 + 8 c

= - 10 a + 15 b - 25 c - 8 a - 24 + 8 c

Group like terms

= - 10 a - 8 a + 15 b - 25 c + 8 c - 24

Add similar elements:

- 10 a - 8 a = - 18 a

= - 18 a + 15 b - 25 c + 8 c - 24

Add similar elements:

- 25 c + 8 c = - 17 c

= - 18 a + 15 b - 17 c - 24

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

582 x^{2} - 9 x^{2615} - 3 x + x + 6

49 x^{4} + 70 x^{2} + 25

\frac{f ( x ) - f ( 2 )}{x - 2}

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

What is (-5)(2a-3b+5c)-4(2a+6-2c) ?
The solution to (-5)(2a-3b+5c)-4(2a+6-2c) is -18a+15b-17c-24