Factor each polynomial. See Examples 5 and 6. 9a^2-16

Question

Accepted Answer

Hey, everyone here, we are asked to completely factor the following difference of squares expression where we have 16 K squared minus 121. Now, our first step here in factoring this difference of squares expression is to recall our difference of squares formula, which states that X squared minus Y squared is equivalent to the quantity of X plus Y times the quantity of X minus Y. Now our next step is to just compare our formula here with our given expression to find our values for X and Y. So beginning with our value for X. Well, from our formula, we see that X squared is our first term from our expression. So we see that X squared is 16 K squared, which tells us that our value for just X is going to be four K. And now moving on to finding our value for Y. Well, again, from our formula, we see that Y squared is going to be our second term. So we see that Y squared is 121 which tells us that our value for Y is just 11. And now with our values for X and Y clearly identified, we can go ahead and use our formula here to find our factored form of our original expression. So again, our original expression, we have 16 k squared minus 121. And from our formula, we know that this expression is equivalent to the quantity of four K plus 11 times the quantity of four K minus 11. And with this, we have found our fully factored form of our original difference of squares expression. Therefore, we are left with answer choice. B thanks for watching. I hope you found this video helpful and I'll see you again next time.

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Factor each polynomial. See Examples 5 and 6. 9a^2-16

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