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algol13
3 years ago
9

(-4ab+8a-2) - (-4ab-9)

Mathematics
1 answer:
lawyer [7]3 years ago
6 0

Answer:

 -a2 • (2a - b - 3c)

Step-by-step explanation:

Equation at the end of step  1  :

 ((4ab - 23a2) + 12ac)

 ————————————————————— • a

           4          

Step  2  :

           -8a2 + 4ab + 12ac

Simplify   —————————————————

                   4        

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  -8a2 + 4ab + 12ac  =   -4a • (2a - b - 3c)  

Equation at the end of step  3  :

 -a • (2a - b - 3c) • a

Step  4  :

Multiplying exponential expressions :

4.1    a1 multiplied by a1 = a(1 + 1) = a2

Final result :

 -a2 • (2a - b - 3c)

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