Example Question - factored form expression

Factoring a Difference of Squares

The expression given in the image is: 100 - 121x^2 This is a difference of squares since 100 and 121x^2 are both perfect squares. It can be factored using the difference of squares factoring rule: a^2 - b^2 = (a + b)(a - b) In this case: a^2 = 100, so a = 10 b^2 = 121x^2, so b = 11x Now let's apply the difference of squares: 100 - 121x^2 = (10)^2 - (11x)^2 = (10 + 11x)(10 - 11x) The factored form of the expression is: (10 + 11x)(10 - 11x)