Question

Subtract. $$ (5 x+8)-\left(-2 x^{2}-6 x+8\right) $$

   Subtract.
$$
(5 x+8)-\left(-2 x^{2}-6 x+8\right)
$$

Algebra A Combined Function

Algebra A Combined Function

Elayn Martin-Gay 4th Edition

Chapter 5, Problem 25

Instant Answer

Solved by Expert Emily Himsel

02/08/2022

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Step 1: First, we write down the given expression: $$ (5 x+8)-\left(-2 x^{2}-6 x+8\right) $$ Show more…

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Subtract. $$ (5 x+8)-\left(-2 x^{2}-6 x+8\right) $$

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Key Concepts

Polynomial Subtraction

This concept involves subtracting one polynomial from another. It is an operation where the corresponding terms of the polynomials are combined by subtracting their coefficients, taking into account the appropriate signs of each term.

Distribution of the Negative Sign

When subtracting an entire expression, the negative sign must be distributed to every term within the parentheses. This effectively transforms the subtraction problem into an addition problem by changing the sign of each term in the expression being subtracted.

Combining Like Terms

Once the negative sign has been distributed, the polynomial will likely have several terms of the same degree. Combining like terms involves adding or subtracting the coefficients of these similar terms, which simplifies the polynomial into its simplest form.

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