Question

on dividing x2-25 by x+5, the quetiont is​

Answer 1

Answer:

x² - 25 divided by x - 5 is x + 5

Step-by-step explanation:

Division of a Perfect Square Binomial

A perfect square binomial is the sum of the square of the first terms, twice the product of the two terms, and the square of the last term.

x² - 25 divided by x - 5

Since both terms in x² - 25 are perfect squares, we need to factor it first before dividing. To factor, we need to use the difference of squares formula:

a² - b² = (a + b) (a - b)

Solution:

Let us factor x² - 25.

x² - 25 = (x + 5) (x - 5)

Now divide.

(x + 5) (x - 5) / x + 5 = x + 5

Final Answer:

x + 5

Checking:

Use the FOIL method.

(x + 5) (x - 5)

x • x = x²

+5 • -5 = -25

5x - 5x = 0

x² - 25 ✔