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Vinvika [58]
2 years ago
15

Someone help with math , thanks <3

Mathematics
1 answer:
NikAS [45]2 years ago
3 0
I see a blank black screen...
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What is the binomial expansion of (x 2y)7? 2x7 14x6y 42x5y2 70x4y3 70x3y4 42x2y5 14xy6 2y7 x7 14x6y 42x5y2 70x4y3 70x3y4 42x2y5
AysviL [449]

You can take x = a, 2y = b and then can apply the binomial theorem.

The expansion of given expression is given by:

Option D: x^7 + 14x^6y + 84x^5y^2 + 280x^4y^3 + 560x^3y^4 + 672x^2y^5 + 448xy^6 + 128y^7 is

<h3>What is binomial theorem?</h3>

It provides algebraic expansion of exponentiated(integer) binomial.

According to binomial theorem,

(a+b)^n = \sum_{i=0}^n ^nC_i a^ib^{n-i}

<h3>How to use binomial theorem for given expression?</h3>

Taking a = x, and b =2y, we have n = 7, thus:

(x+2y)^7 = \: ^7C_0x^0(2y)^7 + \: ^7C_1x^1(2y)^6 + \: ^7C_2x^2(2y)^5 + \: ^7C_3x^3(2y)^4 + \:^7C_4x^4(2y)^3 + \:^7C_5x^5(2y)^2 + \:^7C_6x^6y^1 + \: ^7C_0x^7y^0\\\\&#10;(x+2y)^7 = 128y^7 + 448xy^6 + 672x^2y^5 + 560x^3y^4 + 280x^4y^3 + 84x^5y^2 + 14x^6y + x^7\\\\&#10;(x+2y)^7 = x^7 + 14x^6y + 84x^5y^2 + 280x^4y^3 + 560x^3y^4 + 672x^2y^5 + 448xy^6 + 128y^7

Thus, Option D: x^7 + 14x^6y + 84x^5y^2 + 280x^4y^3 + 560x^3y^4 + 672x^2y^5 + 448xy^6 + 128y^7 is correct.

Learn more about binomial theorem here:

brainly.com/question/86555

6 0
2 years ago
Please help anyone know how to do this.
dexar [7]

sides of right angle triangle follows Pythagoras theorem

a^2 + b^2 = c^2

where a, b and c are sides of triangle

if you check, option 3 follow this. so answer is option 3

6 0
3 years ago
Read 2 more answers
3/9 + 3/27 = ? Adding fractions
RideAnS [48]
\frac{3}{9} + \frac{3}{27} equals \frac{4}{9}.

First, simplify \frac{3}{9} to \frac{1}{3} and also \frac{3}{27} to \frac{1}{9}. Your problem should look like: \frac{1}{3} + \frac{1}{9}.
Second, find the least common denominator of \frac{1}{3} and \frac{1}{9} to get 9.
Third, make the denominators the same as the least common denominator (LCD). Your problem should look like: \frac{1x3}{3x3} + \frac{1}{9}.
Fourth, simplify to get the denominators the same. Your problem should look like: \frac{3}{9} + \frac{1}{9}.
Fifth, join the denominators. Your problem should look like: \frac{3+1}{9}.
Sixth, simplify. Your problem should look like: \frac{4}{9}, which is the answer.

4 0
3 years ago
Prove the divisibility of the following numbers:
yan [13]
8^{10}-8^9-8^8=8^8(8^2-8-1)=8^8(55)

81^7-27^9-9^{13}=3^{28}-3^{27}-3^{26}=3^{26}(3^2-3-1)=3^{26}(5)=3^{24}(45)
8 0
3 years ago
How much bigger is a 1 1/4-inch button than a 5/8-inch button
ruslelena [56]
I think it would be 5/8
4 0
3 years ago
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