Question

Y the following rational expressions and state the (a^(2)-a-12)/(12)-:(2a² +7a+3)/(16a+8)

Answer 1

To simplify the given rational expressions, divide the expressions by multiplying by the reciprocal.

Step-by-step explanation:

To simplify the expression, we can divide rational expressions by multiplying by the reciprocal. In this case, the expression can be simplified as follows:

(a^(2)-a-12)/(12) ÷ (2a² +7a+3)/(16a+8)

Reciprocal of the second rational expression:

(a^(2) -a -12)/(12) × (8)/(16a+8)

Now, cancel out common factors:

(a^(2) -a -12)/(3) ÷ (2a+1)/(2)

Multiply by the reciprocal again:

(a^(2) -a -12)/(3) × (2)/(2a+1)

Then, simplify the expression further if needed.