Question

select the fully reduced form of this fraction.\\(\frac{-8(2x + 5)}{-4(5 + 2x)}\\)\
after you pick your answer press go.\
a. -2\
b. 64x + 160\
c. 2(4x + 10)\
d. 2\
e. already fully reduced

Explanation:

Step1: Recognize equivalent binomials

Note that $2x + 5 = 5 + 2x$, so we can cancel these terms (for $2x+5
eq0$, i.e., $x
eq-\frac{5}{2}$).
$\frac{-8\cancel{(2x + 5)}}{-4\cancel{(5 + 2x)}} = \frac{-8}{-4}$

Step2: Simplify the numerical fraction

Divide the numerator by the denominator.
$\frac{-8}{-4} = 2$

Answer:

D. 2