Simplify 5(7x−2)−14x+4 .(1 point)
35x - 10 - 14x + 4 = 21x - 6
Simplify 17d−33+9(2d+6)−11 .(1 point) $$
17d-33+9(2d+6)-11
= 17d - 33 + 18d + 54 - 11
= 35d + 10
Simplify 6(3q−4)+18−12q−7(4q+5)
6(3q-4) + 18 - 12q - 7(4q+5)
= 18q - 24 + 18 - 12q - 28q - 35
= -22q - 41
Simplify −5+34(8h+12)−10h .(1 point)
-5 + 34(8h+12) - 10h
= -5 + 272h + 408 - 10h
= 262h + 403
Factor 24n−32 using the GCF.
To factor out the greatest common factor (GCF) from 24n and -32, we need to find the largest number that evenly divides both 24 and 32.
The prime factorization of 24 is 2 * 2 * 2 * 3, while the prime factorization of 32 is 2 * 2 * 2 * 2 * 2.
The GCF is therefore 2 * 2 * 2, which is 8.
We can rewrite 24n and -32 as 8 * 3n and 8 * -4.
Therefore, we can factor 24n - 32 as 8(3n - 4).