radomes.openskiesproject.org
graymelanie97 graymelanie97
  • 11-12-2014
  • Mathematics
Answered

Use the Binomial Theorem to expand each binomial (5x-4y)^3

Verified Answer :

Anonymous Anonymous
  • 11-12-2014

You should know that:

(a+b)(a+b)(a+b)

=a(a+b)(a+b)+b(a+b)(a+b)

=a(a²+2ab+b²)+b(a²+2ab+b²)

=a³+2a²b+ab²+a²b+2ab²+b³

=a³+3a²b+3ab²+b³

-----------------

If a=5x and b=-4y

(5x+(-4y))³

=(5x-4y)³

=(5x)³+3(5x)²(-4y)+3(5x)(-4y)²+(-4y)³

=125x³+3(25x²)(-4y)+15x(16y²)-64y³

=125x³+75x²(-4y)+240xy²-64y³

=125x³-300x²y+240xy²-64y³

Answer Link

Related Questions

going to Churchill what aspect of the British military is not quite as strong as the Germans
Is this gramically correct me puedes sentarme aqui
What are network operating systems
what is the volume of two cubes with a side length of fraction 1 over 2 foot v s3 where s is the side length fraction 1 over 2 ft3 fraction 1 over 4 ft3 fractio
What were the Great purges
what is 78 of 350 what do you have to do to get this answer to the question
what multiplier do I need to increase by 20
To tell it right it was through you I found my life and breathed again and then through you my eyesight failed Oedipus the King was written during a time of shi
Two similar cylinders have a scale factor of 163 Find the ratio of their volumes
Luke investigated the heating of water