Question

Simplify.$\left(1.4 x^{2}+1.6 x-8.3\right)-\left(4.9 x^{2}+3.7 x+11.3\right)$

Name: Problem 51, Chapter 5: Intermediate Algebra for College Students
Uploaded: 2021-04-12T20:49:41-08:00
Duration: 1 min 16 s
Channel: Erika Bustos
Description: Simplify.(1.4 x^2+1.6 x-8.3)-(4.9 x^2+3.7 x+11.3)

   Simplify.$\left(1.4 x^{2}+1.6 x-8.3\right)-\left(4.9 x^{2}+3.7 x+11.3\right)$

Intermediate Algebra for College Students

Allen R. Angel;… 10th Edition

Chapter 5, Problem 51

Instant Answer

Solved by Expert Erika Bustos

04/12/2021

Step 1

4x^2 + 1.6x - 8.3 - (4.9x^2 + 3.7x + 11.3) = 1.4x^2 + 1.6x - 8.3 - 4.9x^2 - 3.7x - 11.3$ Now, let's combine like terms: Show more…

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Simplify.$\left(1.4 x^{2}+1.6 x-8.3\right)-\left(4.9 x^{2}+3.7 x+11.3\right)$

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Key Concepts

Distribution of the Negative Sign

This concept involves applying a negative sign (or subtraction operator) to every term within a set of parentheses. When subtracting one polynomial from another, the negative sign must be distributed to each term in the polynomial being subtracted, ensuring that all signs are correctly updated before further simplification.

Combining Like Terms

Combining like terms is a fundamental algebraic process where terms with the same variable raised to the same power are grouped together. This allows for the addition or subtraction of their coefficients, thereby simplifying the polynomial into a more concise form.

Simplification of Polynomial Expressions

Simplifying polynomial expressions involves the systematic application of the distributive property and the combination of like terms. This process reduces the expression to its simplest form, making it easier to understand and work with in further mathematical operations.

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