In this math video we will learn how to multiply variables with exponents. We will begin by identifying each term in the given algebraic expression. We will consider the expression inside the parentheses to determine these terms are not like terms and cannot be simplified further. We will review the distributive property which states to multiply each term inside the parentheses by the factor outside the parentheses. We will apply the distributive property to the algebraic expression one step at a time. We will then find the product of each set of terms. We will review the product of powers property which states that to multiply powers with the same base, add their exponents. We will apply the product of powers property to multiply two terms that have variables with different exponents. We will understand that the term x has an exponent of 1. We will compare our expression in simplest form to the given answer choices and select the correct solution. An exemplar solution is modeled and explained.

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00:00 Introduction
00:13 The Question
00:43 Understanding the Problem - The Terms
01:00 Like Terms?
01:13 What is the Distributive Property?
01:46 Using the Distributive Property
02:35 What is the Product of Powers Property?
02:55 Using the Product of Powers Property
03:49 Rewrite Add a Negative to Subtraction
04:08 The Solution

Arithmetic with Polynomials & Rational Expressions

MCAS 2019 Grade 10 - Algebra and Functions
Question #1

HS.A-APR.A.1 - .Understand that polynomials form a system analogous to the integers, namely, they are closed under certain operations.

Multiply two polynomial expressions.

Perform Arithmetic Operations On Polynomials

HS.A-APR.A.1 Understand that polynomials form a system analogous to the integers, namely, they are closed under certain operations.
a. Perform operations on polynomial expressions (addition, subtraction, multiplication), and compare the system of polynomials to the system of integers when performing operations.
b. Factor and/or expand polynomial expressions, identify and combine like terms, and apply the Distributive property.
HS.A-APR.A.1 - .Understand that polynomials form a system analogous to the integers, namely, they are closed under certain operations.