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Savatey [412]
3 years ago
8

Binomial expansion of (x+2)^4

Mathematics
1 answer:
N76 [4]3 years ago
4 0
The two terms are x and 2, thus, x+2 is a binomial.  We have to multiply the binomial by itself four times since it is raised to 4th power.

Let us multiply x+2 by itself using Polynomial Multiplication:

(x+2)(x+2) = x^2 + 4x + 4

Taking the result, let us multiply it again by a+b:

(x^2 + 4x + 4)(x+2) = x^3 + 6x^2 + 12x + 8

And again:

(x^3 + 6x^2 + 12x + 8)(x+2) = x^4 + 8x^3 + 24x^2 + 32x +16

The binomial expansion of (x+2)^4 is  x^4 + 8x^3 + 24x^2 + 32x +16
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A line parallel to a triangle's side splits AB into lengths of x - 7 and x - 3. The other side, AC, is split into lengths of x a
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3 years ago
For the equation given below, evaluate y′ at the point (−2,−1).<br><br> 3xy−3x−12=0.
SSSSS [86.1K]

Answer:

Y'=3xy-3x-12

Y'=F(-2,-1)=0

Step-by-step explanation:

The function of the equation at the point (-2,-1)

is where the equation make the function go to zero:

Y'=3xy-3x-12

Y'=F(-2,-1)=[3(-2)(-1)]-[3(-1)]-12

F(-2,-1)=[6]-[-6]-12

F(-2,-1)=6+6-12

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Solving for y

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y=4/x+x

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3 0
2 years ago
Boyd's car can travel 1891.5 miles on 48.5 gallons of fuel. how many miles can it travel on 64 gallons?
astra-53 [7]
Steps:
    *Find the unit rate*
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So, Boyd's car will travel 2,496 miles on 64 gallons of fuel.
7 0
3 years ago
I will give brainliest. Combine the like terms to create an equivalent expression: −5j+(−2j)+3
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Answer:

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Step-by-step explanation:

-5j -2j +3

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like terms are combined. combine the js

8 0
3 years ago
Read 2 more answers
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