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In Exercises 103–114, factor completely. (x+y)4−100(x+y)2
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Ch. P - Fundamental Concepts of Algebra
Blitzer8th EditionCollege AlgebraISBN: 9780136970514
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TOC.tableOfContents
- Ch. P - Fundamental Concepts of Algebra311
- Ch. 1 - Equations and Inequalities398
- Ch. 2 - Functions and Graphs407
- Ch. 3 - Polynomial and Rational Functions306
- Ch. 4 - Exponential and Logarithmic Functions247
- Ch. 5 - Systems of Equations and Inequalities173
- Ch. 6 - Matrices and Determinants143
- Ch. 7 - Conic Sections124
- Ch. 8 - Sequences, Induction, and Probability251
Capitolo 1, Problema 112
In Exercises 111–120, use the order of operations to simplify each expression. 102−100÷52⋅2−3
Guida verificata passo dopo passo1
Start by identifying the order of operations, which follows the PEMDAS rule: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
Evaluate the exponents first. In the expression, calculate and .
Perform the division and multiplication next. Divide by the result of , then multiply the result by .
Subtract the result of the division and multiplication from .
Finally, subtract from the previous result to simplify the expression completely.
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Order of Operations
The order of operations is a set of rules that dictates the sequence in which mathematical operations should be performed to ensure consistent results. The acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)) is commonly used to remember this order. Following these rules is crucial for simplifying expressions correctly.
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Performing Row Operations on Matrices
Exponents
Exponents represent repeated multiplication of a number by itself. For example, 10^2 means 10 multiplied by itself, resulting in 100. Understanding how to evaluate exponents is essential for simplifying expressions that include them, as they can significantly affect the outcome of calculations.
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04:06Rational Exponents
Division and Multiplication
Division and multiplication are inverse operations that are performed from left to right in the order of operations. In expressions, they are treated with equal precedence, meaning that when both operations appear, you perform them in the order they occur from left to right. This is important for accurately simplifying expressions that involve these operations.
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03:42Finding Zeros & Their Multiplicity
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