A. 8x
B. 4xy
C. 24x
D. 40xy
Factor 18xy - 45yz using the GCF.
A. 3y(6x - 15z)
B. 3xy(6 - 15z)
C. 9y(2x - 5z)
D. 18yz(x - 2)
What is the GCF of 40xy and 24x? please help!!!!!!?
2009-03-16 5:03 pm
回答 (6)
2009-03-16 5:17 pm
✔ 最佳答案
1. 8x2. C. 9y(2x - 5z)
2009-03-20 11:45 pm
GCF of 40xy and 24x
i.e. GCF of 40x^1y^1 and 24 x^1 y^0
Take GCF of 40 and 24 by factors
40 = 8 Ã 5 and 24 = 8 Ã 3
GCF = 8
GCF of variables take lowest index of x and y
lowest index of x is x^1 = x
lowest index of y is y^0 = 1
Total GCF = 8x à 1 = 8x
GCF
18xy - 45yz
18 = 9 Ã 2
45 = 9 Ã 5
GCF of 18 and 45 = 8
18xy = 9 Ã 2 Ã x^1y^1z^0
45yz = 9 Ã 5 Ã x^0y^1z^1
Total GCF = 9 Ã x^0y^1z^0 = 9y
18xy - 45yz
= 9y(2xz^0 – 5x^0z^1)
= 9y(2x – 5z)
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i.e. GCF of 40x^1y^1 and 24 x^1 y^0
Take GCF of 40 and 24 by factors
40 = 8 Ã 5 and 24 = 8 Ã 3
GCF = 8
GCF of variables take lowest index of x and y
lowest index of x is x^1 = x
lowest index of y is y^0 = 1
Total GCF = 8x à 1 = 8x
GCF
18xy - 45yz
18 = 9 Ã 2
45 = 9 Ã 5
GCF of 18 and 45 = 8
18xy = 9 Ã 2 Ã x^1y^1z^0
45yz = 9 Ã 5 Ã x^0y^1z^1
Total GCF = 9 Ã x^0y^1z^0 = 9y
18xy - 45yz
= 9y(2xz^0 – 5x^0z^1)
= 9y(2x – 5z)
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2009-03-20 11:38 pm
Note that 40xy = 2X2X2X5 x y, and 24x = 2X2X2X3 x
both 'contain' 8 and x in common and no other's bigger. So 8x is the answer
In the second case: 9y*(2x - 5z), following the above.
both 'contain' 8 and x in common and no other's bigger. So 8x is the answer
In the second case: 9y*(2x - 5z), following the above.
2009-03-20 11:32 pm
1)
40xy = 2^3 * 5 * x * y
24x = 2^3 * 3 * x
---------------------------------------
The GCF of 40xy and 24x is:
2^3 * x
= 8x
(answer A)
2)
18xy - 45yz
= 9(2xy - 5yz)
= 9y(2x - 5z)
(answer C)
40xy = 2^3 * 5 * x * y
24x = 2^3 * 3 * x
---------------------------------------
The GCF of 40xy and 24x is:
2^3 * x
= 8x
(answer A)
2)
18xy - 45yz
= 9(2xy - 5yz)
= 9y(2x - 5z)
(answer C)
2009-03-20 11:07 pm
A
2009-03-17 12:09 am
Factor the expressions into primes.
40xy = 2³â5âxây
24x = 2³â3âx
(since you don't know otherwise, assume that x and y are primes)
Identify the factors common to both expressions: 2³ and x
GCF(40xy, 24x) = 2³x
= 8x
-----
Find the prime factors of the expressions.
18xy = 2â3²âxây
45xyz = 3²â5âxâyâz
Factors common to both expressions: 3², x, and y
GCF(18xy, 45xyz) = 3²xy
= 9xy
18xy - 45xyz = 9xy(2-5z)
40xy = 2³â5âxây
24x = 2³â3âx
(since you don't know otherwise, assume that x and y are primes)
Identify the factors common to both expressions: 2³ and x
GCF(40xy, 24x) = 2³x
= 8x
-----
Find the prime factors of the expressions.
18xy = 2â3²âxây
45xyz = 3²â5âxâyâz
Factors common to both expressions: 3², x, and y
GCF(18xy, 45xyz) = 3²xy
= 9xy
18xy - 45xyz = 9xy(2-5z)
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