Question

Simplify.$\left(4 y^{2}+9 y-1\right)-\left(2 y^{2}+10\right)$

Name: Problem 39, Chapter 5: Intermediate Algebra for College Students
Uploaded: 2020-06-23T15:59:32-08:00
Duration: 1 min 19 s
Channel: Susan Cooper
Description: Simplify.(4 y^2+9 y-1)-(2 y^2+10)

   Simplify.$\left(4 y^{2}+9 y-1\right)-\left(2 y^{2}+10\right)$

Intermediate Algebra for College Students

Allen R. Angel;… 10th Edition

Chapter 5, Problem 39

Instant Answer

Solved by Expert Susan Cooper

06/23/2020

Step 1

First, let's distribute the negative sign to the terms inside the second parentheses: $4y^2 + 9y - 1 - (2y^2 + 10) = 4y^2 + 9y - 1 - 2y^2 - 10$ Now, let's combine like terms: Show more…

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Simplify.$\left(4 y^{2}+9 y-1\right)-\left(2 y^{2}+10\right)$

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Key Concepts

Subtraction of Polynomials

Subtraction of polynomials involves distributing a negative sign through the polynomial being subtracted. This reverses the sign of each term in that polynomial, enabling the combined expression to be simplified through the subsequent addition of like terms.

Combining Like Terms

Combining like terms is a method used to simplify polynomial expressions by adding or subtracting coefficients of terms with the same variable raised to the same exponent. This process ensures that the expression is in its simplest form, with each distinct power of the variable appearing only once.

Polynomial Expressions

A polynomial expression is a sum of terms where each term consists of a coefficient multiplied by a variable raised to a non-negative integer power. These expressions can involve one or several variables and are foundational in algebra, serving as the subject of various operations such as addition, subtraction, multiplication, and division.

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