Question

Multiply the polynomials. $$(4 y+6)(2 y-3)$$

   Multiply the polynomials.
$$(4 y+6)(2 y-3)$$

Prealgebra

Julie Miller, Molly… 1st Edition

Chapter 10, Problem 29

Instant Answer

Solved by Expert Maninder Singh

07/26/2020

Step 1

This gives us: \[4y * 2y + 4y * -3 + 6 * 2y + 6 * -3\] Show more…

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Multiply the polynomials. $$(4 y+6)(2 y-3)$$

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Key Concepts

Polynomial Multiplication

Polynomial multiplication involves expanding the product of two or more polynomials by multiplying each term in one polynomial by every term in the other. This process leads to a new polynomial where some terms may be like terms that need further simplification.

Distributive Property

The distributive property is a fundamental algebraic property that states a(b + c) = ab + ac. It is used to multiply each term of one expression by every term of the other, ensuring that no products are missed when expanding the expression.

Combining Like Terms

Combining like terms is a simplification process where terms that have the same variables raised to the same power are added together or subtracted. This step is essential after multiplication to simplify the resulting polynomial into its simplest form.

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