Question

Find the value of $\frac{a^{2} }{a^{4}+a^{2}+1}$ if $\frac{a}{a^{2}+a+1}$ = $\frac{1}{6}$. Please show all work.

Answer 1

1/a^2+a+1 put in fraction form

Answer 2

Answer:

1/36

Step-by-step explanation:

notice the first equation is the second equation squared.

For instance, look at the numerator: a squared is a^2

Look at the denominator: a^2 squared is a^4 and so on.

So if the second equation is 1/6, then you need to square it to have it equal the second equation: (1/6)^2 = 1/36