Find each product. (x+7y)(3x-5y)

Question

Accepted Answer

Welcome back, I'm so glad you're here. We are finding the product of or multiplying these two by no meals. We've got Y plus six Z. Times three Y minus two Z. And we're going to go ahead and we're just going to foil. So starting off with the firsts, Alright first, why times three Y is going to be three, Y squared our outsides, Y times negative two Z. Is going to be negative two Y. Z. And why am I writing it? Y. Z. Instead of Z, Y. Or Y to Z. Because we want to keep the regular number first, the coefficient first. And then we want to have the letters B in alphabetical order just to make it a little bit easier to find like terms. Later on our next are the insides. We've got six Z times three Y. So that's going to be positive 18 Y. Z. And then we've got our lasts which are six Z times negative two Z. So that's gonna be negative 12 Z squared. And now we can go ahead and combine like terms and the only two like terms are these Y Z terms. We bring down the three Y squared negative two plus 18. So that's going to be plus 16 Y. Z. And then bring down that minus 12 Z squared. We look at our answer choices and that's going to be answer choice. C Well done, you've done it will catch you in the next one

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