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BasketballEinstein

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?

Answer:

[tex](y^2+20)^2[/tex]

Step-by-step explanation:

Consider the given expression

[tex]y^4+40y^2+400[/tex]

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

Splitting the middle term, rewrite the middle term as [tex]20y^2+20y^2[/tex].

[tex]y^4+20y^2+20y^2+400[/tex]

[tex](y^4+20y^2)+(20y^2+400)[/tex]

Taking out common factors from each parenthesis.

[tex]y^2(y^2+20)+20(y^2+20)[/tex]

Taking out common factors.

[tex](y^2+20)(y^2+20)[/tex]

[tex](y^2+20)^2[/tex]

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

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