Determine whether 49x^6 − 81b^2 is a difference of two squares. If so, factor it. If not, explain why.

Yes;

Step-by-step explanation:

A difference of squares is basically where you have two terms that can both be written in the form of and one is subtracting the other.

Here, the first term is . We see that if we square root this, we will come out with the clean number: (because ).

The second term is . Again, we see that if we square root this, we will get the clean result: (because ).

So, they are indeed both squares; thus, this is a difference of squares.

To factor it, we remember the formula for factoring :

In this case, a = 7x^3 and b = 9b, so:

, and that's the answer.

Hope that helps!

8+10

step-by-step explanation:

you multiply 4 by 2 and 5 by 2