Question

Expand each expression. $$ x(4 x+6) $$

   Expand each expression.
$$
x(4 x+6)
$$

Finite Mathematics and Applied Calculus

Finite Mathematics and Applied Calculus

Stefan Waner, Steven… 7th Edition

Chapter 0, Problem 1

Instant Answer

Solved by Expert Charles Machakwa

08/29/2021

Step 1

This gives us $4x^2$. Show more…

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Expand each expression. $$ x(4 x+6) $$

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Key Concepts

Distributive Property

The distributive property allows for the multiplication of a term by each term inside a set of parentheses. This property, expressed as a(b + c) = ab + ac, is fundamental for expanding algebraic expressions and for simplifying and solving equations.

Algebraic Expressions

Algebraic expressions are combinations of numbers, variables, and arithmetic operations that represent quantities. Understanding how to manipulate these expressions, such as through expansion and simplification, is essential for solving more complex problems in algebra.

Multiplication of Monomials

Multiplying monomials involves using the rules of multiplying coefficients and adding the exponents of like variables. This concept is crucial when applying the distributive property to expand expressions, ensuring that each term is accurately simplified.

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