Which of the following shows a factor of 100b2 - 144a4? a. 10b - 12a b. 10b + 12a c. 10b + 12a2 d. 50b - 72a2

You may notice that the expression is a difference of squares, with as one of the squares and as the other square.

Now, we can apply the Difference of Squares formula:

In this case, we can say and . We are going to need to find and . To do this, we can take the square root of both sides of the prior two equations.

We can now use the equation to find our result:

You can see that Choice C, or 10b + 12a² is a factor.

10% of increase is the final answer! : )