Add or subtract the polynomials, gather like terms, and write the simplified expression in stand

step 1 The first thing we're being asked to do in this problem is to subtract the two given polynomials

Add or subtract the polynomials, gather like terms, and...

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Key Concepts

Standard Form

Writing a polynomial in standard form means arranging its terms in order of decreasing degree. This makes it easier to read and compare the degrees of the terms, and is standard practice in algebra for clarity and consistency.

Like Terms

Like terms are components of a polynomial that have the same variable parts raised to the same powers. Combining like terms simplifies the polynomial, as you add or subtract the coefficients of these similar terms.

Polynomial

A polynomial is an expression that consists of variables and coefficients, involving only the operations of addition, subtraction, and multiplication, and non-negative integer exponents of variables. It is the foundational structure in algebra used for forming equations and expressions.

Distributive Property

The distributive property is a fundamental algebraic rule that allows you to multiply a single term by each term within a parenthesis. In the context of subtracting polynomials, it is used to apply the subtraction (or negative sign) to every term inside the parentheses.

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