Domanda del libro di testo
Evaluate each exponential expression: 5-3• 5
1512
views
Ch. P - Fundamental Concepts of Algebra
Blitzer8th EditionCollege AlgebraISBN: 9780136970514
Non è quello che usi tu?Cambia libro di testoScegli un libro di testo diverso
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 26
Find each product. (2x−5)(7x+2)
Guida verificata passo dopo passo1
Identify the two binomials to be multiplied: \((2x - 5)\) and \((7x + 2)\).
Apply the distributive property (also known as the FOIL method) to multiply each term in the first binomial by each term in the second binomial: First, Outer, Inner, Last.
Multiply the First terms: \(2x \times 7x = 14x^{2}\).
Multiply the Outer terms: \(2x \times 2 = 4x\) and the Inner terms: \(-5 \times 7x = -35x\).
Multiply the Last terms: \(-5 \times 2 = -10\), then combine like terms \$4x$ and $-35x$ to simplify the expression.
Risposta video verificata per un problema simile:
Questa soluzione video è stata consigliata dai nostri tutor come utile per risolvere questo problema.
Durata del video:
3mConcetti chiave
Ecco i concetti essenziali che devi comprendere per rispondere correttamente alla domanda.
Distributive Property
The distributive property allows you to multiply a single term by each term inside a parenthesis. For example, in (a + b)(c + d), you multiply each term in the first parenthesis by each term in the second. This property is essential for expanding products of binomials.
Video consigliato:
04:15
Multiply Polynomials Using the Distributive Property
Multiplying Binomials
Multiplying binomials involves applying the distributive property twice or using the FOIL method (First, Outer, Inner, Last) to multiply each term in the first binomial by each term in the second. This process results in a polynomial expression.
Video consigliato:
04:15Multiply Polynomials Using the Distributive Property
Combining Like Terms
After multiplying, you often get terms with the same variable and exponent. Combining like terms means adding or subtracting these terms to simplify the expression into its simplest polynomial form.
Video consigliato:
5:22Combinations
Pratica correlata
Domanda del libro di testo
Use the quotient rule to simplify the expressions in Exercises 23–32. Assume that x > 0. √48x3/√3x
160
views
Domanda del libro di testo
In Exercises 15–32, multiply or divide as indicated. (x2−4)/(x−2) ÷ (x+2)/(4x−8)
963
views
Domanda del libro di testo
Simplify each exponential expression in Exercises 23–64.
184
views
Domanda del libro di testo
Evaluate each exponential expression: 2^(-4) + 4^(-1)
1115
views
Domanda del libro di testo
Use the quotient rule to simplify the expressions in Exercises 23–32. Assume that x > 0.
258
views