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