Simplify.Subtract 4 x-11 from 7 x+8

Name: Problem 57, Chapter 5: Intermediate Algebra for College Students
Uploaded: 2020-04-16T01:51:08-08:00
Duration: 1 min 34 s
Channel: Jessica Harter
Description: Simplify.Subtract 4 x-11 from 7 x+8

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Key Concepts

Polynomial Subtraction

Polynomial subtraction involves taking one polynomial and subtracting each of its terms from the corresponding terms of another polynomial. The process requires applying the distributive property to ensure that the subtraction affects every term of the subtracted polynomial before combining like terms.

Algebraic Simplification

Algebraic simplification is the process of reducing an expression to its simplest form by performing operations such as distribution and combining like terms. This makes the expression easier to understand and work with in further mathematical operations.

Distributive Property

In algebra, the distributive property allows you to multiply a single term by each term inside a parenthesis. When subtracting an expression, this property is used by multiplying the entire expression by -1 before combining it with another expression.

Combining Like Terms

This concept involves simplifying expressions by adding or subtracting terms that have the same variable factors. It helps in reducing an expression to its simplest form by grouping and summing the coefficients of similar terms.

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