0. Review of Algebra

Multiplying Polynomials

Textbook Question
In Exercises 69–82, multiply using the rule for the product of the sum and difference of two terms.(x + 4)(x − 4)
659
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Textbook Question
In Exercises 69–82, multiply using the rule for the product of the sum and difference of two terms.(4x + 7y)(4x − 7y)
664
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Textbook Question
In Exercises 69–82, multiply using the rule for the product of the sum and difference of two terms.(8x + 7y)(8x − 7y)
765
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Textbook Question
In Exercises 69–82, multiply using the rule for the product of the sum and difference of two terms.(y³ + 2)(y³ − 2)
615
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Textbook Question
Find each product. Assume all variables represent positive real numbers. (x+x^1/2)(x-x^1/2)
716
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Textbook Question
In Exercises 69–82, multiply using the rule for the product of the sum and difference of two terms.(y³ + 3)(y³ − 3)
622
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Textbook Question
Find each product. Assume all variables represent positive real numbers. (p^1/2-p^-1/2)(p^1/2+p^-1/2)
675
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Textbook Question
In Exercises 69–82, multiply using the rule for the product of the sum and difference of two terms.(3xy² − 4y)(3xy² + 4y)
597
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Textbook Question
In Exercises 69–82, multiply using the rule for the product of the sum and difference of two terms.(5aⁿ − 7)(5aⁿ + 7)
622
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Textbook Question
In Exercises 83–94, find each product.(x + y + 3)(x + y − 3)
665
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Textbook Question
In Exercises 83–90, perform the indicated operations. Simplify the result, if possible. $\frac{y^{-1} - (y + 2)^{-1}}{2}$
697
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Textbook Question
In Exercises 83–94, find each product.(x + 1)(x − 1)(x² + 1)
600
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Textbook Question
Exercises 108–110 will help you prepare for the material covered in the next section.Multiply: (2x³y²)(5x⁴y⁷).
697
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Textbook Question
Exercises 108–110 will help you prepare for the material covered in the next section.Simplify and express the polynomial in standard form:3x(x² + 4x + 5) + 7(x² + 4x + 5)
631
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Textbook Question
The special products can be used to perform selected multiplications.
On the left, we use (x+y)(x-y) = x²-y². On the right, (x-y)² = x²-2xy+y².
Use special products to evaluate each expression. 63 x 57
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