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ahrayia [7]
3 years ago
15

Factoring expressions: 17x-34xy

Mathematics
2 answers:
Katarina [22]3 years ago
8 0

17x(1-2y)

17x-34xy

because both expressions have a x, it would be easier to factor out the x first. but because 17 is a factor of 34 you can simply divide 34 by 17 and get 2. so you put it together to this,

17x(1-2y)

Because, 17x times 1 is 17x but 17x times -2y would be -32xy.

Umnica [9.8K]3 years ago
3 0

Answer:

17x(1-2y)

Step-by-step explanation:

1) so "x" is common in this expression so lets take that out first:

x(17-34y)

2) but 17 is also common since 17*2=34 so lets take "17" out:

17x(1-2y)

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The sum of three consecutive terms of an arithmetic sequence is 27, and the sum of their squares is 293. What is the absolute di
Ber [7]

The absolute difference between the greatest and the least of these three numbers in the arithmetic sequence is 10.

The sequence is an arithmetic sequence. Therefore,

d = common difference

let

a = centre term

Therefore, the 3 consecutive term will be as follows

a - d,  a, a + d

a - d +  a + a + d = 27

3a = 27

a = 27 / 3

a = 9

Therefore,

(a-d)² + (a)² + (a + d)² = 293

(a²-2ad+d²) + 9² + (a² + 2ad + d²) = 293

(81 - 18d + d²) + 81 + (81 + 18d + d²) = 293

243 + 2d² = 293

2d² = 50

d² = 50 / 2

d = √25

d = 5

common difference = 5

Therefore, the 3 numbers are as follows

9 - 5 , 9, 9 + 5 = 4, 9, 14

The difference between the greatest and the least of these 3 numbers are as follows:

14 - 4 = 10

learn more on Arithmetic progression: brainly.com/question/25749583?referrer=searchResults

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