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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

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