Multiply. (k-2)(9 k^2-4 k-12)

Name: Problem 22, Chapter 6: Beginning and Intermediate Algebra
Uploaded: 2021-02-21T04:51:54-08:00
Duration: 2 min 37 s
Channel: Kristen Marte
Description: Multiply. (k-2)(9 k^2-4 k-12)

step 1 In this problem, we have k -2 times 9K squared minus 4k minus 12. And we have a binomial times a

Question

Multiply. $$ (k-2)\left(9 k^{2}-4 k-12\right) $$

   Multiply.
$$
(k-2)\left(9 k^{2}-4 k-12\right)
$$

Beginning and Intermediate Algebra

Sherri Messersmith 3rd Edition

Chapter 6, Problem 22

Instant Answer

Solved by Expert Kristen Marte

02/21/2021

Step 1

This gives us: $$ k(9k^2-4k-12) - 2(9k^2-4k-12) $$ Show more…

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Multiply. $$ (k-2)\left(9 k^{2}-4 k-12\right) $$

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Key Concepts

Combining Like Terms

After multiplying polynomials, it is common to end up with several terms that are similar, or 'like terms'. Combining like terms is the process of adding or subtracting these terms to simplify the expression into its simplest form, which is a fundamental skill in algebra.

Polynomial Multiplication

Polynomial multiplication involves multiplying two or more polynomials together. This process often requires the application of the distributive property repeatedly to ensure that each term from one polynomial is multiplied by every term from the other polynomial(s), resulting in a new polynomial expression.

Distributive Property

The distributive property allows one to multiply a single term by each term within a parenthesis. In algebra, this property is essential for expanding products of polynomials, ensuring that every term in one polynomial is multiplied by every term in another.

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