llMissincrediblell
llMissincrediblell llMissincrediblell
  • 21-06-2022
  • Mathematics
contestada

[tex]\sf\large\green{\underbrace{\red{Question*}}}:[/tex]
Factorize
[tex]4 {a}^{2} - \frac{ {y}^{2} }{16} [/tex]
​

Respuesta :

jimrgrant1 jimrgrant1
  • 21-06-2022

Answer:

(2a - [tex]\frac{y}{4}[/tex] )(2a + [tex]\frac{y}{4}[/tex] )

Step-by-step explanation:

4a² - [tex]\frac{y^2}{16}[/tex] ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , then

4a² - [tex]\frac{y^2}{16}[/tex]

= (2a)² - ([tex]\frac{y}{4}[/tex] )²

= (2a - [tex]\frac{y}{4}[/tex] )(2a + [tex]\frac{y}{4}[/tex] )

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