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Sagot :
Answer:
5(x + 4)(x - 4)
Step-by-step explanation:
1. Factor out the GCF, 5:
5(x² - 16)
2. Rewrite 16 as a perfect square:
5(x² - 4²)
3. Factor the parenthesis by apply the difference of two squares formula x² - y² = (x + y)(x - y):
(x² - 4²) = (x + 4)(x - 4)
5(x + 4)(x - 4)
hope this helps :)
Answer:
[tex]5(x-4 )(x + 4)[/tex]
Step-by-step explanation:
Given expression:
- [tex]5x^2-80[/tex]
To factor the expression, we need to determine the GCF (Greatest common factor). This can be done by listing the factors of 5x² and 80.
- Factors of 80 ⇔ 1, 2, 4, 5, 8, 10, 20, 40, 80
- Factors of 5x² ⇔ 1, 5, x, x²
We can see that 1 and 5 are the common factors of 80 and 5x². Since 5 is greater than 1, the GCF (Greatest common factor) of 80 and 5x² is 5.
- ⇒ [tex]5(x^2-16)[/tex]
Since 16 is a perfect square, 16 can be written as 4².
- ⇒ [tex]5(x^2-4^{2} )[/tex]
When we use the rule a² - b² = [a - b][a + b], we get;
- ⇒ [tex]5(x-4 )(x + 4)[/tex]
Therefore, the factorized form of [tex]5x^2-80[/tex] is [tex]5(x-4 )(x + 4)[/tex].
Learn more about factorization: https://brainly.com/question/20935931
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