Domanda del libro di testo
Identify the property illustrated in each statement. Assume all variables represent real numbers. 5 + √3 is a real number.
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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.2.119
Rewrite each expression using the distributive property and simplify, if possible. See Example 7. -12(x - y)
Guida verificata passo dopo passo1
Identify the distributive property formula: $a(b - c) = ab - ac$. This means you multiply the term outside the parentheses by each term inside the parentheses.
Apply the distributive property to the expression \(-12(x - y)\) by multiplying \(-12\) with \(x\) and then with \(-y\) separately.
Calculate the products: \(-12 \times x\) and \(-12 \times (-y)\), remembering that multiplying two negatives results in a positive.
Write the expression after distribution: \(-12x + 12y\).
Check if the expression can be simplified further by combining like terms or factoring, which in this case it cannot, so the expression \(-12x + 12y\) is the simplified form.
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Distributive Property
The distributive property states that multiplying a number by a sum or difference inside parentheses is equivalent to multiplying the number by each term separately and then adding or subtracting the results. For example, a(b + c) = ab + ac.
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2:20
Imaginary Roots with the Square Root Property
Simplifying Algebraic Expressions
Simplifying involves combining like terms and performing arithmetic operations to write an expression in its simplest form. After distribution, terms with the same variables and exponents can be combined to reduce complexity.
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6:36Simplifying Trig Expressions
Handling Negative Signs in Distribution
When distributing a negative number across terms inside parentheses, the sign of each term changes accordingly. For example, distributing -12 over (x - y) means multiplying -12 by x and -12 by -y, paying attention to sign changes.
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03:11Algebraic Operations on Vectors Example 1
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