Question - Factoring a Difference of Squares
Solution:
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:\[ (10 - 11x)(10 + 11x) \]
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