Domanda del libro di testo
Identify the property illustrated in each statement. Assume all variables represent real numbers. 5(t + 3) = (t + 3) • 5
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Ch. R - Algebra Review
Lial12th EditionTrigonometryISBN: 9780136552161, 9780135440780, 9780136881117, 9780135440827, 9780135924891
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TOC.tableOfContents
- Ch. R - Algebra Review381
- Ch. 1 - Trigonometric Functions188
- Ch. 2 - Acute Angles and Right Triangles168
- Ch. 3 - Radian Measure and The Unit Circle155
- Ch. 4 - Graphs of the Circular Functions100
- Ch. 5 - Trigonometric Identities238
- Ch. 6 - Inverse Circular Functions and Trigonometric Equations158
- Ch. 7 - Applications of Trigonometry and Vectors148
- Ch. 8 - Complex Numbers, Polar Equations, and Parametric Equations15
Lial12th EditionTrigonometryISBN: 9780136552161, 9780135440780, 9780136881117, 9780135440827, 9780135924891Non è quello che usi tu?Cambia libro di testo
Capitolo 1, Problema R.2.123
Rewrite each expression using the distributive property and simplify, if possible. See Example 7. 5k + 3k
Guida verificata passo dopo passo1
Identify the common factor in the expression \(5k + 3k\). Here, both terms have the variable \(k\).
Use the distributive property, which states that \(a b + a c = a (b + c)\), to factor out the common variable \(k\) from both terms.
Rewrite the expression as \(k (5 + 3)\) by factoring out \(k\).
Simplify the expression inside the parentheses by adding the numbers: \(5 + 3\).
Write the simplified expression as \(k \times 8\) or simply \$8k$.
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Distributive Property
The distributive property states that multiplying a sum by a number is the same as multiplying each addend individually by the number and then adding the results. In algebraic terms, a(b + c) = ab + ac. This property helps simplify expressions by factoring or expanding terms.
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Percorso guidato
2:20
Imaginary Roots with the Square Root Property
Combining Like Terms
Combining like terms involves adding or subtracting terms that have the same variable raised to the same power. For example, 5k and 3k are like terms because both contain the variable k. Adding their coefficients simplifies the expression to 8k.
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Percorso guidato
3:18Adding and Subtracting Complex Numbers
Simplification of Algebraic Expressions
Simplification means rewriting an expression in its simplest form by performing operations such as addition, subtraction, multiplication, or division. Simplifying 5k + 3k involves using the distributive property and combining like terms to get a more concise expression.
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Percorso guidato
6:36Simplifying Trig Expressions
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