Write the expression as a product of polynomials:
a(p–q)+q–p

(p-q)(a-1)

Step-by-step explanation:

a(p–q)+q–p

we can write this expression as

a(p-q)+(q-p)

from second parenthesis we can factor out -1 , so we get

a(p-q) -1(p-q)

Now it has two terms a(p-q) and -1(p-q) , from these two terms we can factor out (p-q)

So we get it

(p-q)(a-1)

hope it you

step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2