Question

Simplify.$\left(-\frac{5}{9} a+6\right)+\left(-\frac{2}{3} a^{2}-\frac{1}{4} a-1\right)$

Name: Problem 49, Chapter 5: Intermediate Algebra for College Students
Uploaded: 2020-05-18T14:27:28-08:00
Duration: 1 min 20 s
Channel: Karly Williams
Description: Simplify.(-(5)/(9) a+6)+(-(2)/(3) a^2-(1)/(4) a-1)

   Simplify.$\left(-\frac{5}{9} a+6\right)+\left(-\frac{2}{3} a^{2}-\frac{1}{4} a-1\right)$

Intermediate Algebra for College Students

Allen R. Angel;… 10th Edition

Chapter 5, Problem 49

Instant Answer

Solved by Expert Karly Williams

05/18/2020

Step 1

For the terms with $a$, we have $-\frac{5}{9}a - \frac{1}{4}a$. To combine these, we need a common denominator, which is 36. So we get: $-\frac{20}{36}a - \frac{9}{36}a$ Now, let's combine the constant terms: $6 - 1 = 5$. Show more…

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Simplify.$\left(-\frac{5}{9} a+6\right)+\left(-\frac{2}{3} a^{2}-\frac{1}{4} a-1\right)$

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Key Concepts

Polynomial Addition

Polynomial addition involves adding two or more polynomial expressions by combining terms that have the same variables raised to the same powers. This process is used to simplify or manipulate expressions in algebra, ensuring that the final expression is written in a standard form.

Combining Like Terms

Combining like terms is the process of simplifying an algebraic expression by adding or subtracting coefficients of terms that share the same variable component. This concept helps in reducing the expression to a simpler form and is crucial when working with polynomial operations.

Operations with Rational Coefficients

Operations with rational coefficients involve performing arithmetic on terms that include fractions. Mastery of this concept requires finding common denominators and accurately adding or subtracting fractional numbers, which is essential when simplifying algebraic expressions with rational numbers.

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