Question

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Factorize
$4 {a}^{2} - \frac{ {y}^{2} }{16}$
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Answer 1

Answer:

(2a - $\frac{y}{4}$ )(2a + $\frac{y}{4}$ )

Step-by-step explanation:

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

a² - b² = (a - b)(a + b) , then

4a² - $\frac{y^2}{16}$

= (2a)² - ($\frac{y}{4}$ )²

= (2a - $\frac{y}{4}$ )(2a + $\frac{y}{4}$ )