below is the left side of equation. create any two that could be added on the right side so that the solution to the equation is X=2. - 2 (4X -1) +15X=???
Answers
Step-by-step explanation:
On this page, we will show you how to factor 4x squared minus 900 (4x^2-900) using the difference of squares formula. In addition to factoring 4x^2-900, we will also verify that our answer is correct by calculating the product of the factors we found.
Before we begin, note that 4 and 900 are both perfect squares. Subtracting one perfect square from another is called difference of squares or difference of two squares.
We start by setting up our problem in mathematical terms like this:
4x2 - 900
The greatest common factor of 4 and 900 is 4, which means that we can factor out 4 like this:
4 • (x2 - 225)
Furthermore, this is the difference of squares formula we will use to factor 4x^2-900:
a2 - b2 = (a + b) • (a − b)
To make our problem fit into the formula, we have to convert our problem to match the left side like so:
4 • (x2 - 152)
Now that it matches, we can simply plug in x for a and 15 for b into the formula to get the factors of 4x^2-900: