saralenes saralenes

10-09-2020
Mathematics

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factorize the expression: 9x^4 + 12x^2y + 4y^2

Respuesta :

jimrgrant1 jimrgrant1

10-09-2020

Answer:

(3x² + 2y)²

Step-by-step explanation:

Given

9[tex]x^{4}[/tex] + 12x²y + 4y² ← a perfect square

9[tex]x^{4}[/tex] = (3x²)² and 4y² = (2y)²

of the form

9[tex]x^{4}[/tex] + 12x²y + 4y² = (3x² + 2y)(3x² + 2y) = (3x² + 2y)²

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