Question

divide x2-25/x+3 by x+5/x2-9

Answer 1

Step-by-step explanation:

(x-5)(x-3) is the correct answer of the given question.

Answer 2

Given,

(x²-25)/(x+3) ÷ (x+5)/(x²-9)

To find,

The value after the division.

Solution,

The value of (x²-25)/(x+3) ÷ (x+5)/(x²-9) will be x²-8x+15.

We can easily solve this problem by following the given steps.

Now, we know that when two fractions are in the division then the numerator of the second fraction is multiplied by the denominator of the first fraction and the denominator of the second fraction is multiplied by the numerator of the first fraction.

According to the question,

(x²-25)/(x+3) ÷ (x+5)/(x²-9)

(x²-25) (x²-9) ÷ (x+3) (x+5)

(x²-5²) (x²-3²) ÷ (x+3) (x+5)

Using the identity (a²-b²) = (a+b) (a-b) for (x²-25) (x²-9),

(x+5) (x-5) (x+3) (x-3) ÷ (x+3) (x+5)

Dividing (x+3) (x+5) in the numerator by the denominator,

(x-5) (x-3)

x² - 3x - 5x + 15

x²-8x+15

Hence, the value of (x²-25)/(x+3) ÷ (x+5)/(x²-9) is x²-8x+15.