Question

Expand each expression. $$ (2 e-4)(e-6) $$

   Expand each expression. 
$$
(2 e-4)(e-6)
$$

Impact Mathematics Algebra and More

Impact Mathematics Algebra and More

McGraw Hill 1st Edition

Chapter 7, Problem 27

Instant Answer

Solved by Expert Sriram Soundarrajan

07/03/2020

Step 1

This gives us: $$ 2e \cdot e + 2e \cdot (-6) - 4 \cdot e - 4 \cdot (-6) $$ Show more…

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Expand each expression. $$ (2 e-4)(e-6) $$

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Key Concepts

Distributive Property

The distributive property is a fundamental algebraic principle stating that multiplying a term by a sum is equivalent to multiplying the term by each addend individually and then adding the products. This property is key to expanding expressions, as it allows one to break down and simplify products of sums or differences.

FOIL Method

The FOIL method is a specialized application of the distributive property used in multiplying two binomials. It stands for First, Outer, Inner, Last, indicating the order in which the terms of each binomial are multiplied to ensure all products are accounted for.

Combining Like Terms

After the expansion process using the distributive property or the FOIL method, similar terms (those with the same variable and exponent) often appear. Combining like terms simplifies the expression by summing the coefficients of these similar terms, leading to a more concise and manageable form.

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