Perform the operations. -2 x^2 y^2-4 x y+12 y^2

Name: Problem 86, Chapter 4: Beginning Algebra: A Guided Approach
Uploaded: 2021-05-07T19:51:47-08:00
Duration: 1 min 12 s
Channel: Julie Silva
Description: Perform the operations. -2 x^2 y^2-4 x y+12 y^2 - 10 x^2 y^2+9 x y-24 y^2

step 1 being asked to perform the given operation. For the specific problem, we're being asked to subtr

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Key Concepts

Combining Like Terms

Combining like terms is the process of simplifying expressions by adding or subtracting coefficients of terms that share the same variable factors and exponents. This method reduces complex expressions to simpler forms by consolidating similar terms, making further manipulation or evaluation easier.

Distributive Property

The distributive property is a key algebraic principle that allows for the distribution of multiplication over addition or subtraction within an expression. It is essential when subtracting polynomials, as it ensures that the subtraction sign is correctly applied to each term in the polynomial being subtracted.

Polynomial Expressions

Polynomial expressions are algebraic expressions made up of variables and coefficients combined using addition, subtraction, and multiplication. They involve terms with non-negative integer exponents and are a central object of study in algebra, where simplification and manipulation techniques are applied regularly.

Subtraction of Polynomials

Subtracting polynomials involves changing the sign of each term in the polynomial being subtracted and then combining the result with the terms of the first polynomial. This process uses the distributive property to correctly handle the subtraction across all terms within the expression.

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