Multiply. (5 y^2+8 y-2)(3 y-8)

Name: Problem 56, Chapter 9: Prealgebra and Introductory Algebra
Uploaded: 2020-06-26T01:05:53-08:00
Duration: 1 min 11 s
Channel: Ebunoluwa Bolujo
Description: Multiply. (5 y^2+8 y-2)(3 y-8)

step 1 So we're going to take this first term and multiply it to each term in our trinomial. And that g

Question

Multiply. $$\left(5 y^{2}+8 y-2\right)(3 y-8)$$

   Multiply. $$\left(5 y^{2}+8 y-2\right)(3 y-8)$$

Prealgebra and Introductory Algebra

Richard N. Aufmann,… 3rd Edition

Chapter 9, Problem 56

Instant Answer

Solved by Expert Ebunoluwa Bolujo

06/26/2020

Step 1

This gives us: \[15y^{3} + 24y^{2} - 6y - 40y^{2} - 64y + 16\] Show more…

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Multiply. $$\left(5 y^{2}+8 y-2\right)(3 y-8)$$

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Key Concepts

Polynomial Multiplication

This concept involves multiplying two polynomials in which every term in the first polynomial is multiplied by every term in the second polynomial. It is a fundamental operation in algebra that allows the expansion and simplification of expressions involving variables raised to powers.

Distributive Property

The distributive property is a key algebraic principle used in polynomial multiplication. It states that a term outside the parentheses multiply each term inside the parentheses, ensuring that no term is omitted during expansion.

Combining Like Terms

This process involves simplifying the polynomial by adding or subtracting coefficients of terms that have the same variable raised to the same power. It is a crucial step after multiplication to present the expression in its simplest and most organized form.

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