Answer:
B
Explanation:
write the expression:
(104x^(2)*y+14y^(2)*z+56x*y^(2)+26x*y*z)/(8*x*y+2y*z)
factor the numerator:
104x^(2)*y+14y^(2)*z+56x*y^(2)+26x*y*z ⇒ 2y(13x+7y)(4x+z)
factor the denominator:
8*x*y+2y*z ⇒ 2y(4x+z)
write the expression with the factored numerator and denominator:
2y(13x+7y)(4x+z)/2y(4x+z)
cancel out like terms:
2y(13x+7y)(4x+z)/2y(4x+z) ⇒ 13x+7y
Thus, the answer is B