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
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Chapter P Solutions
College Algebra Essentials (5th Edition)
- Simplify the given figurearrow_forwardMake 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_forwardRationalize the numerator of x+10 – 100 Paragraph A.arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage