What is (a+b)(x-3)+(2a-b)(x-3) ?

The solution to (a+b)(x-3)+(2a-b)(x-3) is 3ax-9a

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simplify (a+b)(x-3)+(2a-b)(x-3)

simplify

(a + b) (x - 3) + (2 a - b) (x - 3)

3 a x - 9 a

Solution steps

(a + b) (x - 3) + (2 a - b) (x - 3)

Expand

(a + b) (x - 3) : a x - 3 a + b x - 3 b

= a x - 3 a + b x - 3 b + (2 a - b) (x - 3)

Expand

(2 a - b) (x - 3) : 2 a x - 6 a - b x + 3 b

= a x - 3 a + b x - 3 b + 2 a x - 6 a - b x + 3 b

Group like terms

= a x + 2 a x - 3 a - 6 a + b x - b x - 3 b + 3 b

Add similar elements:

a x + 2 a x = 3 a x

= 3 a x - 3 a - 6 a + b x - b x - 3 b + 3 b

Add similar elements:

- 3 a - 6 a = - 9 a

= 3 a x - 9 a + b x - b x - 3 b + 3 b

Add similar elements:

b x - b x = 0

= 3 a x - 9 a - 3 b + 3 b

Add similar elements:

- 3 b + 3 b = 0

= 3 a x - 9 a

- 1.6 \div 2

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

(x - 1) (x + 1) (x - 3)

- \frac{9}{7} + (- \frac{3}{70})

What is (a+b)(x-3)+(2a-b)(x-3) ?
The solution to (a+b)(x-3)+(2a-b)(x-3) is 3ax-9a