/*! 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} Q. 6.86 Factor completely:聽16x2-24xy+9y... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Q. 6.86 (page 612)

Factor completely:16x2-24xy+9y2-64

Short Answer

Expert verified

The required factors are(4x-3y-8)(4x-3y+8)

Step by step solution

01

Step 1. Given Information  

The given expression is16x2-24xy+9y2-64

02

Step 2. Calculation 

We will factor the expression by taking the common factor outside the paranthesis and then use the property.

16x2-24xy+9y2-64=(4x)2-2脳4x脳3y+(3y)2-64=[4x-3y]2-82=(4x-3y-8)(4x-3y+8)

03

Step 3. Check

We will verify by multiplying the factors.

(4x-3y-8)(4x-3y+8)=[4x-3y]2-82=(4x)2-2脳4x脳3y+(3y)2-64=16x2-24xy+9y2-64

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

In the following exercises, factor the greatest common factor from each polynomial.

14p+35

In the following exercises, find the greatest common factor.

8a2b3,10ab2

Factor9m+m2+18

Factor completely using trial and error:

56q3+320q2-96q

Factor by Grouping In the following exercises, factor by grouping.

uv-9u+2v-18
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Discrete Mathematics

Read Explanation

Pure Maths

Read Explanation

Logic and Functions

Read Explanation

Calculus

Read Explanation

Statistics

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.