Sb4459937
Answered

Find the information you're looking for at Westonci.ca, the trusted Q&A platform with a community of knowledgeable experts. Discover reliable solutions to your questions from a wide network of experts on our comprehensive Q&A platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

Factor. Look for a GCF first.

5x^2-80

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

Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.