Concept explainers
In Exercises 1–25, simplify the given expression or perform the indicated operation (and simplify, if possible), whichever is appropriate.
1.
To multiply: The expressions
Answer to Problem 1MC
The expression
Explanation of Solution
Method used:
FOIL method to multiply binomials:
In words, the product of two binomials is product of the first terms in each binomial plus product of outside terms plus the product of the inside terms plus the product of last terms.
Calculation:
Use FOIL method and simplify the expression
That is,
Thus, the expression
Want to see more full solutions like this?
Chapter P Solutions
College Algebra Essentials
- In Exercises 83–90, perform the indicated operation or operations. 83. (3x + 4y)? - (3x – 4y) 84. (5x + 2y) - (5x – 2y) 85. (5x – 7)(3x – 2) – (4x – 5)(6x – 1) 86. (3x + 5)(2x - 9) - (7x – 2)(x – 1) 87. (2x + 5)(2r - 5)(4x? + 25) 88. (3x + 4)(3x – 4)(9x² + 16) (2x – 7)5 89. (2x – 7) (5x – 3)6 90. (5x – 3)4arrow_forwardIn Exercises 132–137, factor each polynomial. Assume that all variable exponents represent whole numbers. 132. 9x2" + x" – 8 133. 4x2n – 9x" + 5 134. an+2 – a"+2 – 6a? 135. b2n+2 + 3b"+2 10b2 136. 3c"+2 10c"+1 + 3c" 137. 2d"+2 5d"+1 + 3d"arrow_forwardFor Exercises 19–22, write each expression as a product. (See Example 3)arrow_forward
- Make Sense? In Exercises 135–138, determine whether each statement makes sense or does not make sense, and explain your reasoning. 135. I use the same ideas to multiply (V2 + 5) (V2 + 4) that I did to find the binomial product (x + 5)(x + 4). 136. I used a special-product formula and simplified as follows: (V2 + V5)? = 2 + 5 = 7. 137. In some cases when I multiply a square root expression and its conjugate, the simplified product contains a radical. 138. I use the fact that 1 is the multiplicative identity to both rationalize denominators and rewrite rational expressions with a common denominator.arrow_forwardFor Exercises 19–22, write each expression as a product. (See Example 3) 20. sin 30+ sin 100arrow_forwardRationalize the numerator of x+10 – 100 Paragraph A.arrow_forward
- Options: A. -4z^2 B. -3z^2-5z C. -3z^2-5z+1 D. -3z^2-5z-1 Can you pleaseee do this fastt and can you show work on A PAPER PLEASEEarrow_forward4.3.PS-17 Question Help Explain whether 11t- 4t is equivalent to 4t - 11t. Support your answer by evaluating the expressions for t= 2. The expression 11t - 4t in 11t - 4t belongs to the equivalent to 4t- 11t because the negative sig is not isarrow_forwardAll changes saved For the three-part question that follows, provide your answer to each question in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C. Part A: Expand the expression -7i(2 – 4i) using the distributive property. Part B: Show all work for Part A. Part C: Explain why the expansion in Part A did not result in the need to combine like terms.arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt