/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 28 Find each product. $$\left(7 x... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 0: Problem 28

Find each product. $$\left(7 x^{2}-2\right)\left(3 x^{2}-5\right)$$

Short Answer

Expert verified
The product of \((7 x^{2}-2)\) and \((3 x^{2}-5)\) is \(21x^4 - 41x^2 + 10\)

Step by step solution

01

Apply Distributive Law part 1

Multiply the first term in the first expression, \(7x^2\), with each term in the second expression: \(7x^2 * 3x^2 = 21x^4\), \(7x^2 * -5 = -35x^2\)
02

Apply Distributive Law part 2

Next, multiply the second term in the first expression, -2, with each term in the second expression: \(-2 * 3x^2 = -6x^2\), \(-2 * -5 = 10\)
03

Combine Like Terms

Now, combine like terms: \(21x^4 - 35x^2 - 6x^2 + 10\). This simplifies to \(21x^4 - 41x^2 + 10\)

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Evaluate each expression without using a calculator. $$125^{\frac{2}{3}}$$

Exercises \(142-144\) will help you prepare for the material covered in the next section. Use the distributive property to multiply: $$2 x^{4}\left(8 x^{4}+3 x\right)$$

Use Einstein's special-relativity equation $$R_{a}=R_{f} \sqrt{1-\left(\frac{v}{c}\right)^{2}}$$ described in the Blitzer Bonus on page \(47,\) to solve this exercise. You are moving at \(90 \%\) of the speed of light. Substitute \(0.9 c\) for \(v,\) your velocity, in the equation. What is your aging rate, correct to two decimal places, relative to a friend on Earth? If you are gone for 44 weeks, approximately how many weeks have passed for your friend?

Factor completely. $$ x^{4}-y^{4}-2 x^{3} y+2 x y^{3} $$

Simplify using properties of exponents. $$\left(125 x^{9} y^{6}\right)^{3}$$
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Mechanics Maths

Read Explanation

Probability and Statistics

Read Explanation

Decision Maths

Read Explanation

Calculus

Read Explanation

Discrete Mathematics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.