/*! 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} Q4. Write an expression for the area... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

Write an expression for the area of the rectangle below.

F10b5c5−3bcG10b5c5−15b2c3H2b5c5−3b2c3J10b4c6−15bc2

Short Answer

Expert verified

The area of the rectangle is 10b5c5−15b2c3.

Step by step solution

01

Step 1. Write the formula of the area of a rectangle.

Area of rectangle is given by A=length×width.

02

Step 2. Substitute.

Substitute 2b4c3−3bcfor length and 5bc2into A=length×width.

A=2b4c3−3bc5bc2

03

Step 3. Simplify.

Simplify the above-obtained expression.

A=2b4c3−3bc5bc2=2b4c3⋅5bc2−3bc⋅5bc2=10b5c5−15b2c3

Therefore, the area of the rectangle10b5c5−15b2c3 completely matches option G. Option G is the required answer.

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 91Ó°ÊÓ!

One App. One Place for Learning.

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

Get started for free

Study anywhere. Anytime. Across all devices.