Question - Factoring a Difference of Squares
mathdifference of squares rulefactoring a difference of squaresperfect squares factoringfactored form expression
Solution:
The expression given in the image is:100 - 121x^2This 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 = 10b^2 = 121x^2, so b = 11xNow 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)
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