Question

Multiply. $$ -2(3 x-2 x 2+x-3) $$

Name: Problem 27, Chapter 2: Elementary Algebra
Uploaded: 2022-01-25T22:23:06-08:00
Duration: 48 s
Channel: Emily Himsel
Description: Multiply. -2(3 x-2 x 2+x-3)

   Multiply.
$$
-2(3 x-2 x 2+x-3)
$$

Elementary Algebra

John Redden 1st Edition

Chapter 2, Problem 27

Instant Answer

Solved by Expert Emily Himsel

01/25/2022

Step 1

This gives us: $$ -2(3x) -2(-2x^2) -2(x) -2(-3) $$ Show more…

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Multiply. $$ -2(3 x-2 x 2+x-3) $$

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Key Concepts

Combining Like Terms

After distribution, similar terms with the same variable and exponent are combined by adding or subtracting their coefficients, which simplifies the expression and is a key step in algebraic manipulation.

Distributive Property

This is the algebraic principle that allows a term multiplied by a sum or difference to be distributed across each term inside the parentheses, effectively multiplying each term individually and then combining the results.

Monomial-Polynomial Multiplication

This involves the process of multiplying a single term (monomial) with each term of a polynomial. It requires applying basic arithmetic and algebra rules, such as multiplication of coefficients and the addition of exponents for like bases.

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