Question

PLEASE HELP WILL GIVE BRAINLIEST

Answer 1

Answer:

$\frac{x^{2} + 19x + 102}{4(x + 5)(x + 7)}$

Step-by-step explanation:

I have factored and multiplied lwh to get the volumes

Vol. = $\frac{2x - 1}{(2x - 3)(x + 5)}$ $\frac{2(2x - 3)}{3x - 1}$$\frac{(3x - 1)(x + 3)}{(2x - 1)(x + 3)}$ + $\frac{x - 5}{3x + 2}$$\frac{3x + 2}{4}$$\frac{x - 2}{(x + 7)(x - 5)}$

      = $\frac{4}{x + 5}$ + $\frac{x - 2}{4(x + 7)}$

      = $\frac{4(4)(x + 7) + (x - 2)(x + 5)}{4(x + 5)(x + 7)}$

      =  $\frac{16x + 112 + x^{2} + 3x -10}{4(x + 5)(x + 7)}$

      = $\frac{x^{2} + 19x + 102}{4(x + 5)(x + 7)}$

If I have done everything correctly, then $\frac{x^{2} + 19x + 102}{4(x + 5)(x + 7)}$ is the total volume

This a real exercise in factoring and multiplying and adding fractions