A) 169p⁴qr÷ (-13pq³r)
b) 3(x +2y) +5x - (y + 7)
c (3x –4)( 5x- 1)

A)  -13p^33q^-2   or -13p^3/q^2

B)  8x + 5y - 7

C)  15x^2 -23x + 4

Step-by-step explanation:

A) 169/(-13) = -13     p^4/p = p^3    q/q^3  = 1/q^2  which can be written as q^-2 and r/r is 1. So if you put this all together you get  -13p^33q^-2   or -13p^3/q^2

B)  3(x +2y) + 5x - (y + 7)

     3x + 6y + 5x - y - 7   distributive property

     3x + 5x + 6y - y  -7   combine like terms

      8x + 5y - 7              Answer

C)  (3x-4) (5x - 1)    Foil multiply the first terms in each parenthesis. the outer terms, the inner terms and the last terms

(3x)(5x) + (3x)(-1) + (-4)(5x)  + (-4)(-1)

15x^2  -3x - 20x + 4  

15x^2 -23x + 4