Example Question - factoring formula

Factoring a Difference of Squares

The expression in the image is: \[ 100 - 121x^2 \] This is a difference of squares, which can be factored using the formula \( a^2 - b^2 = (a - b)(a + b) \). Here, \( a^2 = 100 \) and \( b^2 = 121x^2 \). Therefore, the square roots are \( a = 10 \) and \( b = 11x \). The factored form is: \[ (10 - 11x)(10 + 11x) \]