In Exercises 9–22, multiply the monomial and the polynomial.

4xy...

Question

In Exercises 9–22, multiply the monomial and the polynomial.

4xy(7x+3y)

Accepted Answer

Hello, everyone. We are gonna perform multiplication for the given mono meals. We are given eight X Y multiplied by the parentheses. Five X plus two Y, our answer choices are a 40 X Y plus 16, X Y squared B 16, X squared, Y plus 40 X Y squared C 40 X squared Y plus 16 X Y D 40 X squared Y plus 16 X Y squared, rewriting what we were originally given eight X Y multiplied by open parentheses. Five X plus two Y closed parentheses. I'm going to distribute my eight X Y into my parentheses. So each term is multiplied by eight X Y. So eight X Y multiplied by five X starting off by multiplying our coefficients. So eight multiplied by five is 40. Then we have an X to the first. Again, recall if they don't show you what the exponent is that the exponent is one. So X to the first multiplied by X to the first. When we multiply like bases, we add our exponents. So we results with X squared Y to the first has no one to multiply by there. So it doesn't change. It continues being Y. So our first term is 40 x squared y. To get our second term, we do eight X Y multiplied by two Y. Again, I'm gonna do my coefficients first. It's a positive eight multiplied by a positive two, which gives me a positive 16 X to the first does not have a like base in this term. So we're just gonna rewrite X Y to the first multiplied by Y to the first will give me Y squared because again, when you multiply like bases, you add your exponents. So we get the product 40 X squared, Y plus 16 X Y squared. And that's answer choice. D have a nice day.

In Exercises 9–22, multiply the monomial and the polynomial. 4xy(7x+3y)

Key Concepts

Monomials

Polynomials

Distribution

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