Question

5/x^2+5x+x+15/25-x^2

Answer 1

Ответ:

$\frac{-5x^4+30x^3+3x^2+25}{5x^2}$

Объяснение:

$\frac{5}{x^2} +6x+\frac{3}{5} -x^2$

$\frac{25+30x^3+3x^2-5x^4}{5x^2}$

Answer 2

To simplify the expression:

1. First, factor the denominators.

   5/x^2 + 5x + x + 15/25 - x^2

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

2. Find the LCD (Least Common Denominator).

   The LCD is (x)(x+5)(5-x)(5+x).

3. Rewrite the fractions with the LCD.

   5/x(x+5) * (5-x)/(5-x) + (x+5)/(5-x)(5+x) * x/(x)

   = 25 - 5x^2 + x^2 + 5x^2 + 75x + 5x

   x(x+5)(5-x)(5+x)

   = 30x + 25

   (x+5)(5-x)(x)(5+x)

Thus, the simplified expression is (30x+25)/[(x+5)(5-x)(x)(5+x)].