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## Algebra 1 (Eureka Math/EngageNY)

### Unit 1: Lesson 5

Topic B: Lesson 9: Multiplying monomials

# Multiplying monomials to find area: two variables

Sal expresses the area of a rectangle with length 4xy and width 2y as a monomial. Created by Sal Khan and Monterey Institute for Technology and Education.

## Want to join the conversation?

• So if you have an exponent in a term like this with more than one variable, does the exponent act on just the variable it's next to (in this case y) or the whole term? It seems from this like it's the whole term, but that doesn't seem intuitive as there's only one x in the original terms...
• An exponent just acts on the thing it is next to. So if you have 2xy^2 then it is only the y which is squared. If you wanted the x squared as well you would have to explicitly write 2 x^2 y^2, or use brackets so that the exponent acts on everything inside the brackets: 2(xy)^2.
• can a coefficient number be negative
• I can see at that you have put a video of multiplying monomials, but I wanted a video of dividing monomials. Is there such a video somewhere on this website?
• same here specifically dividing monomials by binomials
(1 vote)
• Is there a video explaining what polynomials, monomials, and binomials are?
(1 vote)
• Can't the area also be founds by adding 4xy+4xy+2y+2y, which = 8xy+4y? Can someone show me how this is = to 8xy^2? Thanks
(1 vote)
• Area = Length * Width
You are finding the perimeter = 2(length) + 2(width).
They are not the same.
• Is there a video that helps with binomials,monomials,polynomials?
(1 vote)
• How do u multiply and divide -48y3 and -8y?
• If you mean -48y cubed, you should type it like this: -48y^3. And multiplying it is simple, -8y is just like saying -8y^1. So really, you are just adding the exponents, 1 and 3 to get four. And 48 times 8 is equal to 384. So when you multiply it, the answer is 384y^4. To divide, you just subtract 1 from 3, and divide 48 by 8 to get 6y^2. Hope this helped.
• What exactly is the term that is both behind 4 and 2?
• They are not terms but factors (something you multiply with).
You use letters instead of numbers to indicate that it is a variable. The value of x and y could be any number (in this case they should be positive since sidelengths are positive)