Find each product. See Examples 5 and 6. (a-6b)^2

Question

Accepted Answer

Hey everyone here we are asked to perform multiplication in the given expression of the quantity of m minus five N squared. Now we want to begin solving this problem by first expanding our expression so we can clearly see our multiplication process. So doing this, our expanded expression, we get the quantity of m minus five N. Times the quantity of m minus five N. And now two we can start multiplying this expanded expression by applying the foil method. So according to the foil method, we begin by taking the product of the first terms in each set of parentheses. So here we'll have M times M. And then we add our next product in our next product. We are going to take the outside terms here according to our foil method again, so we have M times the quantity of negative five N. And again we add our next product where we will take the product of the inside terms. So we have the quantity of negative five N times M. And then our taking our last product. Again, we add our last product where we take the product of our last terms in each set of parentheses. So we have the quantity of negative five N times the quantity of negative five N. So now that we have for only boiled out our expression here, we just have to start simplifying by first simplifying our products here. So doing this our first product we get m squared from our second product, we get a negative term. So we have minus five N. M. And then our third product is the same as our second. So we have another minus five and M. And for our last product we have a positive term. So we get plus 25 squared. And now we our last step here is to finish simplifying by adding together our like terms and we see that our final answer here is m squared minus 10 N. M plus 25 squared. And with this we have finished multiplying our original expression here and therefore we are left with answer choice D. Thanks for watching. I hope you found this video helpful and I'll see you again next time.

Find each product. See Examples 5 and 6. (a-6b)^2

Key Concepts

Binomial Expansion

Square of a Binomial

Algebraic Simplification

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