100x²-9

The expression \( 100x^2 - 9 \) is a difference of squares, which can be factored. The difference of squares formula is given by:

\[ a^2 - b^2 = (a - b)(a + b) \]

In this case, we can identify:

• \( a^2 = 100x^2 \) which means \( a = 10x \)
• \( b^2 = 9 \) which means \( b = 3 \)

Using the difference of squares formula, we can factor \( 100x^2 - 9 \) as follows:

\[ 100x^2 - 9 = (10x - 3)(10x + 3) \]

So, the factored form of \( 100x^2 - 9 \) is:

\[ (10x - 3)(10x + 3) \]