Solve the equation. a^2-4 a-2=(a+3)(a-5)

Name: Problem 50, Chapter 4: Intermediate Algebra
Uploaded: 2020-06-30T05:47:17-08:00
Duration: 2 min 27 s
Channel: Ankit Gupta
Description: Solve the equation. a^2-4 a-2=(a+3)(a-5)

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Algebraic Expansion

Expanding expressions, such as multiplying two binomials, is a fundamental algebraic technique used to convert a factored form into an expanded polynomial form. This process helps in rewriting and equating expressions efficiently in order to make the comparison of different forms of the same polynomial more straightforward.

Collecting Like Terms

Collecting like terms involves combining terms in an expression that have the same variables raised to the same powers. This simplification is crucial as it reduces complex expressions into a simpler form, making it easier to solve for the unknowns.

Solving Linear Equations

After simplifying the equation by expanding and combining like terms, the resulting equation often becomes linear. Solving linear equations includes isolating the variable on one side of the equation through operations such as addition, subtraction, multiplication, or division, leading to the solution of the problem.

Verification and Simplification of Equations

Ensuring that both sides of an equation are simplified correctly and verifying that terms have been canceled appropriately is essential in algebra. This process not only confirms the validity of the transformations applied but also helps in preventing errors and verifying the solution.

Transcript

Please give Ace some feedback