Asked by John
How can the Binomial Theorem be useful in helping to prove and use polynomial identities?
can someone please explain this to me im confused
Answers
Answered by
Damon
So am I but this might help
https://www.mathsisfun.com/algebra/binomial-theorem.html
https://www.mathsisfun.com/algebra/binomial-theorem.html
Answered by
Reiny
Perhaps an actual question or example will help
Here is one case:
Prove that (2x -3y)^4 = ....... <--- they would give that
LS = (2x - 3y)^4
= 1(2x)^4 + 4(2x)^3(-3y) + 6(2x)^2(-3y)^2 + 4(2x)(-3y)^3 + 1(-3y)^4
= 16x^4 - 96x^3 y + 216x^2 y^2 - 216x y^3 + 81y^4
= RS
make sure you are familiar with Pascal's triangle, it will be of great value to you
e.g. I took the values of 1 4 6 4 1 from the 5th row of the triangle
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
...
Here is one case:
Prove that (2x -3y)^4 = ....... <--- they would give that
LS = (2x - 3y)^4
= 1(2x)^4 + 4(2x)^3(-3y) + 6(2x)^2(-3y)^2 + 4(2x)(-3y)^3 + 1(-3y)^4
= 16x^4 - 96x^3 y + 216x^2 y^2 - 216x y^3 + 81y^4
= RS
make sure you are familiar with Pascal's triangle, it will be of great value to you
e.g. I took the values of 1 4 6 4 1 from the 5th row of the triangle
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
...