InertiaLearning

Login

#MAASL00014/#MAAHL00023


a) Use binomial theorem formula

_{4}C_{0}x^{4}(-3)^{0}+_{4}C_{1}x^{3}(-3)^{1}+_{4}C_{2}x^{2}(-3)^{2}+_{4}C_{3}x^{1}(-3)^{3}+_{4}C_{4}x^{0}(-3)^{4}

Simplify, be careful with signs.

x^{4}-12x^{3}+54x^{2}-108x+81



b) Expand (x-2)^{4}

Use binomial theorem formula

_{4}C_{0}x^{4}(-2)^{0}+_{4}C_{1}x^{3}(-2)^{1}+_{4}C_{2}x^{2}(-2)^{2}+_{4}C_{3}x^{1}(-2)^{3}+_{4}C_{4}x^{0}(-2)^{4}

x^{4}-8x^{3}+24x^{2}-32x+16

(5x-2) \times (x^{4}-8x^{3}+24x^{2}-32x+16)

5x^{5}-42x^{4}+136x^{3}-208x^{2}+144x-32

-208x^{2}

Explanation

Subscribe to the Inertia Newsletter

IB News, Covid-19 Updates, Deadlines, Tips and Tricks, and Hundreds of Free Resources are Awaiting You!

Classes

Features

  • Study Notes
  • Thousands of IB Questions
  • Detailed Answers
  • Ask-A-Question System

Additional

Copyright © InertiaLearning, LLC. All rights reserved.

50% off your first session

Discount Code: InertiaLearning50

Share the joy with your friends:

Share on facebook
Facebook
Share on twitter
Twitter
Share on reddit
Reddit
Share on whatsapp
WhatsApp
Share on email
Email