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professor190 [17]
3 years ago
9

Combine like terms to find the equivalent expression to6(58u+1)−6(−74u−5).

Mathematics
1 answer:
gtnhenbr [62]3 years ago
6 0

Answer:

-36 • (22u + 1)

Step-by-step explanation:

Pulling out like terms :

2.1     Pull out like factors :

  -74u - 5  =   -1 • (74u + 5)

Equation at the end of step  2  :

 (6 • (58u + 1)) -  -6 • (74u + 5)

Step  3  :

Equation at the end of step  3  :

 6 • (58u + 1) -  -6 • (74u + 5)

Step  4  :

Pulling out like terms :

4.1      Pull out     6

Note that  -6 =(-1)• 6

After pulling out, we are left with :

     6 • ( (-1)  *  (58u+1) +( (-1)  *  (74u+5) ))

Step  5  :

Pulling out like terms :

5.1     Pull out like factors :

  -132u - 6  =   -6 • (22u + 1)

Final result :

 -36 • (22u + 1)

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