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Damm [24]
3 years ago
15

Kayla had m marbles. She gave 4 marbles to her cousin. Enter an expression to represent the number of marbles Kayla has now.

Mathematics
1 answer:
Arte-miy333 [17]3 years ago
5 0

Answer:

m-4\\

Step-by-step explanation:

m-4

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3 n-5 An even ineger, what is the next larger consecutive even integer
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Answer:

B. n-3

Step-by-step explanation:

If x is an even integer, the next consecutive even integer = x + 2

Since (n-5) is even, the next consecutive even integer = (n-5) + 2 = n-3

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2 years ago
Factor completely: 2x4 − 32.
vazorg [7]

Answer:

Option b) is correct.

The completed factor of given expression is  2(x-2)(x+2)(x^2+4)

Step-by-step explanation:

Given expression is 2x^4-32

To find the completed factor for the given expression:

2x^4-32:

Taking the common number "2" outside  to the above expression we get

2x^4-32=2(x^4-16)

Now rewritting the above  expression as below

=2(x^4-2^4)  (since 16 can be written as the number 2 to the power of 4)

=2((x^2)^2-(2^2)^2)

The above expression is of the form a^2-b^2=(a+b)(a-b)

Here a=x^2 and  b=2^2

Therefore it becomes

=2(x^2+2^2)(x^2-2^2)

=2(x^2+4)(x^2-2^2)  

The above expression is of the form a^2-b^2=(a+b)(a-b)

Here a=x and  b=2

Therefore it becomes

=2(x^2+4)(x+2)(x-2)  

=2(x+2)(x-2)(x^2+4)  

Therefore =2(x+2)(x-2)(x^2+4)  

2x^4-32=2(x-2)(x+2)(x^2+4)  

Option b) is correct.

The completed factor of given expression is  2(x-2)(x+2)(x^2+4)

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