Simplify 2(3v+9)−14−6(−5v−4)

Answer 1

2(3v+9)−14−6(−5v−4)
Distribute the 2 and 6:
6v + 18 - 14 + 30v + 24
Combine like terms:
(6v + 30v) + (18 + 24) - 14
36v + 42 - 14
Combine like terms:
36v + 28
Final Simplified Answer: 36v + 28

Answer 2

-15 + 4/5(15e - 10) - 10e.

Answer 3

-15 + 4/5(15e - 10) - 10e
-15 + (4/5)(15e) - (4/5)(10) - 10e
-15 + (12e) - 8 - 10e
Combine like terms:
(12e - 10e) - 15 - 8
2e - 23
Final Simplified Answer: 2e - 23

Answer 4

Factor 48y + 36z using the GCF.

Answer 5

To factor 48y + 36z using the greatest common factor (GCF), we first need to find the GCF of 48y and 36z.

The prime factorization of 48 is: 2^4 * 3
The prime factorization of y is: y
The prime factorization of 36 is: 2^2 * 3^2
The prime factorization of z is: z

The GCF is therefore 2^2 * 3 = 12.

Now we can factor 48y + 36z using the GCF of 12:

12(4y + 3z)

Final Answer: 12(4y + 3z)