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We want to factor the following expression: 16x^6 + 24x^3y^5 + 9y^10 We can factor the expression as (U + V)^2 where U and V are either constant integers or single-variable expressions 1) What are U and V?

User Hassec
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1 Answer

26 votes
26 votes

Given data:

The given expression is 16x^6+24x^3y^5+9y^10.

The given expression can be written as,


\begin{gathered} 16x^6+24x^{3^{}}y^5+9y^(10)=(4x^3)^2+2(4x^3)(3y^5)+(3y^5)^2 \\ =(4x^3+3y^5)^2 \end{gathered}

Thus, the value of U=4x^3, and V=3y^5.

The factors of the given expression is,

(4x^3+3y^5)(4x^3+3y^5).

User FeelTheBurns
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