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deff fn [24]
1 year ago
8

le="\sf\large\green{\underbrace{\red{Question*}}}:" alt="\sf\large\green{\underbrace{\red{Question*}}}:" align="absmiddle" class="latex-formula">
Factorize
4 {a}^{2}  -  \frac{ {y}^{2} }{16}
​
Mathematics
1 answer:
astraxan [27]1 year ago
6 0

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} )

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