Mathematics: Factor the expression completely over the complex numbers.[tex]y^{4}+40y^{2}+400[/tex]

Factor the expression completely over the complex

Ответ:

haven765

11.03.2022

Mathematics

(y^2+20)^2

Step-by-step explanation:

Consider the given expression

y^4+40y^2+400

We need to find the factor form of the given expression.

Splitting the middle term, rewrite the middle term as 20y^2+20y^2 .

y^4+20y^2+20y^2+400

(y^4+20y^2)+(20y^2+400)

Taking out common factors from each parenthesis.

y^2(y^2+20)+20(y^2+20)

Taking out common factors.

(y^2+20)(y^2+20)

(y^2+20)^2

Therefore, the factored form of given expression is (y^2+20)^2 .

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Ответ:

amelvin41

11.03.2022

Mathematics

The answer is [y² + 20]² because using the "Greatest Common Factor" strategy, you'll have this below:

(y^4 + 20y²) + (20y² + 400)

y²(y² + 20) 20(y² + 20)

[y² + 20][y² + 20] = [y² + 20]²

Sorry it took so long. I was trying to figure out the code for the 4th power exponential. I never take this long to answer any mathematical question. Please forgive me?

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Ответ:

ddarby

19.03.2020

Mathematics

If you do not understand any steps, please feel free to comment down below.

Find all complex solutions of 2x^2+x+6=0. (If there is more than one solution, separate them with co

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Factor the expression completely over the complex numbers. $y^{4}+40y^{2}+400$

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