Question

Expand and simplify. $$(x-4)(x+5)$$

   Expand and simplify.
$$(x-4)(x+5)$$

Higher Level Mathematics

Higher Level Mathematics

Ibrahim Wazir, Tim… 2012 Edition

Chapter 1, Problem 1

Instant Answer

Solved by Expert Aman Gupta

01/22/2022

Step 1

This gives us: \[x(x+5) - 4(x+5)\] Show more…

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Expand and simplify. $$(x-4)(x+5)$$

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Key Concepts

Combining Like Terms

After applying the distributive property or FOIL method in polynomial multiplication, combining like terms involves summing terms that have the same variables raised to the same powers. This process simplifies the expression further into its simplest polynomial form.

Distributive Property

The distributive property allows you to multiply a single term by each term within parenthesis, effectively removing the parentheses by distributing the multiplication. This concept is essential in algebra for expanding expressions and simplifying polynomials.

FOIL Method

The FOIL method is a specific application of the distributive property used for multiplying two binomials. It stands for First, Outer, Inner, Last, representing the order in which the terms in the binomials are multiplied together to ensure that all term combinations are covered.

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