Answer:
D
Step-by-step explanation:
Factor the numerators/ denominators
10 - 5 = 5(2a - 1) ← common factor of 5
4a² - 1 = (2a - 1)(2a + 1) ← difference of squares
[ Change ÷ to × and turn second fraction upside down ]
= [tex]\frac{2a+1}{5(2a-1)}[/tex] × [tex]\frac{(2a-1)(2a+1)}{10a}[/tex]
[ cancel the factor (2a - 1) on the numerator/denominator ] leaving
= [tex]\frac{(2a+1)^2}{5(10a)}[/tex] = [tex]\frac{(2a+1)^2}{50a}[/tex]
