Simplify the complex fraction.

Question

Quizplus · Accepted Answer

To simplify the complex fraction, we need to first simplify the numerator and denominator. In the numerator, we can factor out 11eb80b1_aef2_17de_a291:

(11eb80b1_aef2_17de_a291)(2a + b + 5c)

In the denominator, we can factor out 11eb80b1_aef2_17de_a291 and use the difference of squares:

(11eb80b1_aef2_17de_a291)(4a^2 - b^2) = (11eb80b1_aef2_17de_a291)(2a - b)(2a + b)

So the complex fraction becomes:

[(2a + b + 5c)/(2a - b)] * [(2a + b)/(11eb80b1_aef2_17de_a291)]

We can cancel out the (2a + b) terms from the numerator and denominator, leaving us with:

[(5c + 2a + b)/(2a - b)] * [1/(11eb80b1_aef2_17de_a291)]

This can be simplified to:

(5c + 2a + b)/(11eb80b1_aef2_17de_a291)(2a - b)

Therefore, the answer is B.

Simplify the Complex Fraction