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

The solution to 5(a+b)+2(a+c)-4(b+c) is 7a+b-2c

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

simplify

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

7 a + b - 2 c

Solution steps

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

Expand

5 (a + b) : 5 a + 5 b

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

Expand

2 (a + c) : 2 a + 2 c

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

Expand

- 4 (b + c) : - 4 b - 4 c

= 5 a + 5 b + 2 a + 2 c - 4 b - 4 c

Group like terms

= 5 a + 2 a + 5 b - 4 b + 2 c - 4 c

Add similar elements:

5 a + 2 a = 7 a

= 7 a + 5 b - 4 b + 2 c - 4 c

Add similar elements:

5 b - 4 b = b

= 7 a + b + 2 c - 4 c

Add similar elements:

2 c - 4 c = - 2 c

= 7 a + b - 2 c

3 x^{3} + 9 x^{2} - 12 x

\frac{6}{7} + \frac{2}{5}

- 3 x^{2} - 3 x + 126

8 \div \frac{4}{9}

(3 + i^{2}) + i^{4}