Q. 198 In the following exercises, mult... [FREE SOLUTION]

91影视

Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 8: Q. 198 (page 798)

In the following exercises, multiply.
a. $(3 - 2 \sqrt{7}) (5 - 4 \sqrt{7})$
b. $(\sqrt[3]{x} - 5) (\sqrt[3]{x} - 3)$

Short Answer

Expert verified

On multiplication, we get $71 - 22 \sqrt{7}, \sqrt[3]{x^{2}} - 8 \sqrt[3]{x^{2}} + 15$ respectively

Step by step solution

Part (a) Step 1: Given information

Given the expression $(3 - 2 \sqrt{7}) (5 - 4 \sqrt{7})$

Part (a) Step 2: Multiplying the terms and simplifying

Multiplying and simplifying we get

$(3 - 2 \sqrt{7}) (5 - 4 \sqrt{7}) = 15 - 12 \sqrt{7} - 10 \sqrt{7} + 8 \sqrt{(7)^{2}} (3 - 2 \sqrt{7}) (5 - 4 \sqrt{7}) = 15 - 12 \sqrt{7} - 10 \sqrt{7} + 8 路 7 (3 - 2 \sqrt{7}) (5 - 4 \sqrt{7}) = (15 + 56) - (12 \sqrt{7} + 10 \sqrt{7}) (3 - 2 \sqrt{7}) (5 - 4 \sqrt{7}) = 71 - 22 \sqrt{7}$

Part (b) Step 1: Given information

Given expression $(\sqrt[3]{x} - 5) (\sqrt[3]{x} - 3)$

Part (b) Step 2:Multiplying the terms and simplifying

Multiplying the terms and simplifying, we get

$(\sqrt[3]{x} - 5) (\sqrt[3]{x} - 3) = \sqrt[3]{x^{2}} - 3 \sqrt[3]{x} - 5 \sqrt[3]{x} + 15 (\sqrt[3]{x} - 5) (\sqrt[3]{x} - 3) = \sqrt[3]{x^{2}} (- 3 \sqrt[3]{x} - 5 \sqrt[3]{x}) + 15 (\sqrt[3]{x} - 5) (\sqrt[3]{x} - 3) = \sqrt[3]{x^{2}} - 8 \sqrt[3]{x^{2}} + 15 (\sqrt[3]{x} - 5) (\sqrt[3]{x} - 3) = - 7 \sqrt[3]{x^{2}} + 15$

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91影视

In the following exercises, multiply.
a. $(3 - 2 \sqrt{7}) (5 - 4 \sqrt{7})$
b. $(\sqrt[3]{x} - 5) (\sqrt[3]{x} - 3)$

Short Answer

Step by step solution

Part (a) Step 1: Given information

Part (a) Step 2: Multiplying the terms and simplifying

Part (b) Step 1: Given information

Part (b) Step 2:Multiplying the terms and simplifying

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91影视

In the following exercises, multiply.a.(3-27)(5-47)b.(x3-5)(x3-3)

Short Answer

Step by step solution

Part (a) Step 1: Given information

Part (a) Step 2: Multiplying the terms and simplifying

Part (b) Step 1: Given information

Part (b) Step 2:Multiplying the terms and simplifying

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Statistics

Decision Maths

Geometry

Discrete Mathematics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

In the following exercises, multiply.
a. $(3 - 2 \sqrt{7}) (5 - 4 \sqrt{7})$
b. $(\sqrt[3]{x} - 5) (\sqrt[3]{x} - 3)$