Question

X^2-49. 5x+35 ------------ : ---------- 3x-24. x-8

Answer 1

Ответ:

$\frac{x- 7}{15}$

Объяснение:

$\frac{x^{2}-7 }{3x-24}$÷$\frac{5x+35}{x-8}$ = $\frac{x^{2}-7 }{3x-24}$×$\frac{x-8}{5x+35}$ = $\frac{(x-7)(x+7)}{3(x-8)}$ ×$\frac{x-8}{5(x-7)}$ = $\frac{x-7}{15}$

Answer 2

It looks like you've provided a mathematical expression that involves fractions and polynomials. To make sure I understand your request correctly, are you asking me to simplify the following expression?

$\frac{x^2 - 49}{5x + 35} : \frac{3x - 24}{x - 8}$

If yes, I'll guide you through the process of simplifying it step by step.

Step 1: Factor the numerators and denominators of the fractions.

• $x^2 - 49$ can be factored as $(x + 7)(x - 7)$.
• $5x + 35$ can be factored as $5(x + 7)$.
• $3x - 24$ can be factored as $3(x - 8)$.
• $x - 8$ is already factored.

Step 2: Substitute the factored expressions into the original expression. $\frac{(x + 7)(x - 7)}{5(x + 7)} : \frac{3(x - 8)}{x - 8}$

Step 3: Cancel out common factors in the fractions. $\frac{x - 7}{5} : 3$

Step 4: Simplify further. $\frac{x - 7}{5} \cdot \frac{1}{3}$ $\frac{x - 7}{15}$

So, the simplified expression is $\frac{x - 7}{15}$.