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Katarina [22]
3 years ago
5

Apply the Binomial Theorem to the expression (x^2+1)^2

Mathematics
2 answers:
timurjin [86]3 years ago
8 0

Answer:

x^4 + 2x^2 + 1

Step-by-step explanation:

Using Pascal's Triangle, we end up with the following set of coefficients in a triangular form:

        1

 1      2     1

The coefficients 1, 2 and 1 are used as follows:

1(x^2)^2 + 2(x^2) + 1(1)^2, or

x^4 + 2x^2 + 1

Therefore the given expression (x^2+1)^2 is equivalent to the expanded form x^4 + 2x^2 + 1 .

KiRa [710]3 years ago
6 0

Answer:

Step-by-step explanation:

(x^2 +1)(x^2 +1)

x^4 +x^2+x^2 +1

x^4+2x^2 +1 answer

Hope this helps!

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Andy drove 840 miles in 12 hours. How much miles can he drive per hour?
Sergio039 [100]

Answer:

70

Step-by-step explanation:

840 / 12 = 70

7 0
3 years ago
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Write the equation of the line in fully simplified slope intercept form
aleksandrvk [35]

Answer:

y = 3x - 8

Step-by-step explanation:

m = slope

slope = y2 - y1 / x2 - x1

4 - 1 / 4 - 3 = 3/1 = 3

m = 3

b = y-intercept

b = -8

y = mx + b

y = 3x + (-8)

y = 3x - 8

4 0
2 years ago
Joshua walked 14 feet down the hall of his house to get the door he continued in a straight line out the door and across the yar
AleksandrR [38]

Answer:

Joshua walked 48 feet in total.

Step-by-step explanation:

To find the total distance we need to sum every distance that he walked. We have:

- First: Joshua walked down the hall to the door = 14 feet

- Second: He continued in a straight line out the door and across the yard to the mailbox = 24 feet

- Third: He came straight back across the yard and stopped to pet his dog = 10 feet

Hence, the total distance is:

d_{T} = d_{1} + d_{2} + d_{3} = 14 ft + 24 ft + 10 ft = 48 ft

Therefore, Joshua walked 48 feet in total.

I hope it helps you!

8 0
3 years ago
1.56 times 48 equals
Crank

Answer:

It equals 74.88

Step-by-step explanation:

U jus multiply them

5 0
3 years ago
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A donut shop made 12 dozen donuts to give to a school’s math club.
stepan [7]

Answer:

d=doughnuts

x=students in math club

1 dozen = 12d

/ = divided by

. = multiply

(12.12)/x=

4 0
2 years ago
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