Question

Find each product. $-3 k\left(8 k^{2}-12 k+2\right)$

   Find each product.
$-3 k\left(8 k^{2}-12 k+2\right)$

Beginning Algebra

Beginning Algebra

Margaret L. Lial,… 11th Edition

Chapter 5, Problem 89

Instant Answer

Solved by Expert Brandon Fox

06/23/2020

Step 1

This means we multiply $-3k$ with $8k^2$, $-12k$, and $2$ respectively. Show more…

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Find each product. $-3 k\left(8 k^{2}-12 k+2\right)$

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Key Concepts

Distributive Property

The distributive property allows one to multiply a single term by each term inside a parenthesis. This property ensures that every term in the expression is multiplied by the term outside the parentheses, which is essential for breaking down complex expressions into simpler parts.

Monomial and Polynomial Multiplication

Multiplying a monomial by a polynomial involves applying the distributive property and multiplying the numerical coefficients and variable parts separately. This process requires careful manipulation of the exponents and proper multiplication of each term in the polynomial.

Exponent Laws

When multiplying terms with the same base, the exponent laws dictate that you add the exponents. This rule is crucial when dealing with variable expressions to correctly combine their exponents during multiplication, simplifying the overall expression.

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