Question

Which expression is equivalent to StartFraction 2 a + 1 Over 10 a minus 5 Endfraction divided by StartFraction 10 a Over 4 a squared minus 1 EndFraction?
StartFraction 2 a Over (2 a minus 1) squared EndFraction
StartFraction 50 a Over (2 a + 1) squared EndFraction
StartFraction (2 a minus 1) squared Over 2 a EndFraction
StartFraction (2 a + 1) squared Over 50 a EndFraction

Answer 1

For this case we must simplify the following expression:

$\frac {\frac {2a + 1} {10a-5}} {\frac {10a} {4a ^ 2-1}} =$

We apply double C:

$\frac {(4a ^ 2-1) (2a + 1)} {10a (10a-5)} =$

We apply distributive property in the numerator and we take common factor 5 in the denominator:

$\frac {8a ^ 3 + 4a ^ 2-2a-1} {10a (5 (2a-1))} =$

We factor the numerator:

$\frac {(2a + 1) ^ 2 (2a-1)} {10a (5 (2a-1))} =\\\frac {(2a + 1) ^ 2 (2a-1)} {50a (2a-1)} =$

We simplify:

$\frac {(2a + 1) ^ 2} {50a}$

Answer:

$\frac {(2a + 1) ^ 2} {50a}$

Option D

Answer 2

Answer:

its either a or b

Step-by-step explanation:

just took the quiz, if d is wrong, i guessed c and got it wrong, which leaves a and b