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Troyanec [42]
3 years ago
13

Apply the distributive property to factor out the greatest common factor. 14k + 35

Mathematics
1 answer:
tino4ka555 [31]3 years ago
4 0

Answer:

7\left(2k+5\right)

Step-by-step explanation:

14k+35

35=7*5

14=7*2

7\left(2k+5\right)

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Factor completely x^4-17x^2+16​
Snowcat [4.5K]

Answer:

(x - 1) (x + 1) (x - 4) (x + 4)

Step-by-step explanation:

actor the following:

x^4 - 17 x^2 + 16

x^4 - 17 x^2 + 16 = (x^2)^2 - 17 x^2 + 16:

(x^2)^2 - 17 x^2 + 16

The factors of 16 that sum to -17 are -1 and -16. So, (x^2)^2 - 17 x^2 + 16 = (x^2 - 1) (x^2 - 16):

(x^2 - 1) (x^2 - 16)

x^2 - 16 = x^2 - 4^2:

(x^2 - 1) (x^2 - 4^2)

Factor the difference of two squares. x^2 - 4^2 = (x - 4) (x + 4):

(x - 4) (x + 4) (x^2 - 1)

x^2 - 1 = x^2 - 1^2:

(x^2 - 1^2) (x - 4) (x + 4)

Factor the difference of two squares. x^2 - 1^2 = (x - 1) (x + 1):

Answer: (x - 1) (x + 1) (x - 4) (x + 4)

4 0
3 years ago
Michael made 4 dozen chocolate chip cookies he is bringing 75% of them to school for a party how many cookies does he bring to c
olga2289 [7]
12 cookies= 1 dozen.
12*4 (dozens) =48
48/ 4= 12
12 cookies is a 1/4 or 25% of the whole amount of cookies. 
48- 12= 36
He brings 36 cookies to school. 
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